That blue-green residue is verdigris. Try removing with a light acid, such as ketchup, and a toothbrush. You can also attack with baking soda and water. Add just a few, tiny grains of baking soda to some distilled water and dissolve. Soak the razor in the solution for a few minutes and again, attack with a toothbrush, toothpick, or dental pick.
Cleaning up vintage Gillette razor