There are two things ants cannot live without: Salt and water. If your razor has either on it they will come after it if they can find no other source.

I doubt it is the salt but some areas have more salt in the water than others. I go through a lot of salt in my water softener, so if you have one of those there may be enough to attract them.

If so you might try cleaning you razor with a dip in a glass of distilled water and then drying most of it off.

This might be worth doing just to see if it works.