How are Huge Power and Pure Power different in Pokémon?

Strength Abilities

Huge Power and Pure Power both have the effect of doubling the Pokémon's Atk Stat, which means the same as doubling the power of its physical moves.

Only Azurill, Marill, and Azumarill can have Huge Power.

Only Meditite and Medicham can have Pure Power.

Another difference between the two abilities is that when Huge Power is Skill Swapped, Role Played, or Traced, the effect multiplied by 1.5 instead of 2, reducing the amount of Atk stat gain for the Pokémon.