You don't want to keep mixing it once everything is dissolved anyway - even a small pump gets pretty warm inside the impeller well, so you end up with at least a small amount of precipitation. I've seen it happen and
@Randy Holmes-Farley has covered this in at least one article.
Ideally - USE IT AFTER ABOUT 5 MINUTES OF MIXING! (Unless you have bad salt or are only using airstones to mix, 5 minutes is all it should take, and I can prove it on video!

)
But if you have to store it for some reason, just put a lid on it and leave it alone. Any vitamins or aminos will break down and be gone within about a week, but the salt will remain perfectly usable like this almost indefinitely when stored like this. (Assuming your container was clean.)
And for the record, I tested a bunch of pumps, airstones, etc, to see what was best at mixing salt and youtube'd the best two (one pump, one not).
You know what works as well as anything?
A mixing paddle, if you wanna keep yourself dry...
...or even just your hand, if you don't mind getting wet.
Nothing else was any faster, and lots of things were slower AND OFTEN LESS EFFECTIVE. (Everything else was definitely more expensive!)