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Let's say that I have a Shuckle with 252 Def EVs, Bold Nature, and Defense Curl. It can go up pretty high. What is the highest stat any Pokemon can have? And who is that Pokemon? Take items, EVs, natures, and moves into account.

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Best answer

If you include HP which is slightly different to the other stats, the highest is Blissey's HP which can get to 714.

Otherwise it's Shuckle who can have a maximum Defense or Special Defense of 614.

And just to complete the stats, the Deoxys forms can have the highest Attack, Special Attack or Speed, with a maximum of 504.

Oh, and with stat boosts you can go +6 stages which is 4 times the original, so Shuckle can get to 2456.
A Choice item can boost Attack, Sp.Attack or Speed by 1.5x, so Deoxys can get to 3024!

You can go to the links to check if they learn moves to boost those stats, Shuckle's defense and Deoxys's Special Attack can definitely be boosted so you can get that 3024.

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Choice Specs boosts Special Attack by 1.5x
Also, without Baton Pass. Meaning Pokemon that can do boosting themselves. ie Serperior with Calm Mind+Specs.
Calm Mind+Specs=Fail xD
You could use magic room to use the specs and calm mind if you wanted.
@Fear, ha you're right, forgot all about that....
2 votes

I know that this answer is extremely late, but there are some newer ways to get the highest stats possible in Pokemon. All of these have been tested using Pokemon Showdown. Additionally, the special defense and speed methods were available to you during the time of the post, so the other answer is incorrect.

Disclaimer: I will say "a move that doesn't affect" a certain Pokemon multiple times throughout this answer. This just means that the move does not affect that Pokemon's stats or HP. You may use many moves that boost your stats such as Swords Dance or Calm Mind. This move may also be Protect (In some cases) and Substitute (In some cases).

Highest HP Possible: A level 100 Blissey with at least 252 EVs and 31 IVs in HP, giving it a total of 714 HP

Highest Attack Possible and Highest Stat Possible:

Requirements:
1. A level 100 Shuckle with at least 252 EVs and 31 IVs in defense, with a defense boosting nature
2. Shuckle must know Power Trick and Shell Smash and cannot have Contrary
3. A Bunnelby or Diggersby with Huge Power and U-turn
4. Other team must have a Pokemon with Skill Swap that is faster than Bunnelby or Diggersby and knows 1 move that doesn't affect Shuckle
5. Other team must have another Pokemon with Trick and must hold a Choice Band

Achieve By:
1. Sending out Bunnelby or Diggersby and the other team must send out the Pokemon with Skill Swap
2. Other Pokemon uses Skill Swap while Bunnelby or Diggersby uses U-turn and sends out Shuckle
3. Other Pokemon uses Skill Swap again while Shuckle uses Power Trick
4. Other Pokemon uses the move that doesn't affect Shuckle (Not Trick) while Shuckle uses Shell Smash
5. Other Pokemon switches into the Pokemon that knows Trick while Shuckle uses Shell Smash
6. Other Pokemon that knows Trick uses Trick while Shuckle uses Shell Smash to give Shuckle the Choice Band
7. Shuckle now has 7,368 attack (and can use an attack next turn for a VERY gimmicky sweep)

Highest Defense Possible:

Requirements:
1. A level 100 Shuckle with at least 252 EVs and 31 IVs in defense, with a defense boosting nature
2. Shuckle cannot have Contrary
3. Shuckle must have Defense Curl or Withdraw
4. Other team must have Alolan Persian with Fur Coat, Assist, and 1 move that doesn't affect Shuckle
5. Other team must have only 1 other Pokemon and it can only know Entrainment or Skill Swap

Achieve By:
1. Sending out Shuckle and Alolan Persian
2. Alolan Persian uses Assist, which can only be turned into Entrainment or Skill Swap to give Shuckle Fur Coat ability while Shuckle uses Defense Curl or Withdraw
3. Alolan Persian uses the other move that doesn't affect Shuckle while Shuckle uses Defense Curl or Withdraw
4. Repeat step 3 four more times
5. Shuckle now has 4912 defense

Highest Special Attack Possible:

Requirements:
1. A level 100 Ditto with the ability Imposter
2. A level 100 Mega Mewtwo Y with at least 252 EVs and 31 IVs in special attack, with a special attack boosting nature
3. Mega Mewtwo Y must know Calm Mind
4. Ditto must hold a Choice Specs

Achieve By:
1. Sending out Ditto and Mega Mewtwo Y on opposite teams, (If it is a double battle, Mega Mewtwo Y must be directly across the field from Ditto) so that Ditto transforms into Mega Mewtwo Y
2. Ditto uses Calm Mind
3. Repest step 2 five more times
4. Ditto now has 3,210 special attack

Highest Special Defense Possible:

Requirements:
1. A level 100 Shuckle with at least 252 EVs and 31 IVs in special defense, with a special defense boosting nature
2. Shuckle must know at least 1 move that is an attacking move and must have Contrary
3. Shuckle must hold an Assault Vest
4. Another Pokemon on the opposing team that knows Metal Sound

Achieve By:
1. Sending out Shuckle and the Pokemon that knows Metal Sound and is on the opposing team
2. Pokemon that knows Metal Sound uses Metal Sound
3. Repeat step 2 twice
4. Shuckle now has 3,684 special defense

Highest Speed Possible:

Requirements:
1. A level 100 Deoxys Speed with at least 252 EVs and 31 IVs in speed, with a speed boosting nature
2. Deoxys Speed must know Fling and Agility and hold an item that can be flung using Fling
3. A Drifblim or a Drifloon with Unburden and Skill Swap and 1 other move that doesn't affect Deoxys Speed

Achieve By:
1. Sending out Deoxys Speed and Drifblim/Drifloon
2. Deoxys Speed uses Agility while Drifblim/Drifloon uses Skill Swap
3. Deoxys Speed uses Fling while Drifblim/Drifloon uses the move that doesn't affect Deoxys Speed
4. Deoxys Speed uses Agility while Drifblim/Drifloon uses the move that doesn't affect Deoxys Speed
5. Repeat step 4 once
6. Deoxys Speed now has 4,032 speed

I hope that this information is helpful or feeds your curiosity.

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