I think it's worth mentioning that they keep the stones with them to use them as tools.
They eat mollusks, crustaceans, and use their stone(s) to break their hard shells. They place the prey on their chest and beat it with a stone, which they hold between their paws, until they break it.
The otter in the OP is a river otter (probably american river otter)—I'm like 90% sure they do not have pockets. The otter in the comment is a sea otter (in case the watermark didn't give that away)—they have skin folds that's often described as pockets near-ish to the armpit.
Neither of them are marsupials—they both belong to the family Mustelidae (which also include badgers, weasels, etc).