extra salty sweaters

is anyone else out there like this? I get salt crystals on my face after sweating/drying especially during runs, not really especially long ones either. My skin actually gets red and irritated from the dry salt. I also sweat a lot.... if i even think about exercising i start sweating lol. My tears are extra salty too, they make burn like marks on my face! The weird thing is that my doctor actually told me I have low blood sodium levels. I have to stay away from my pets after I run because I become a living salt lick.