All teams pay Pirelli for their tires. TBF, the amount of rubber brought to the events and the amount of tires they go through on a GP weekend. Imagine even if it was just a couple hundred dollars a tire. Now throw in the man power and logistics to do that twenty times a year around the world. I read that it doesn't even come close to offsetting their cost. It was away to make up for the fact that everyone, Pirelli included wanted to go with 18" rubber to be more relevant.
I wonder, how much would they pay if they were to sponsor an F1 team?
Ooops... in this case, ALL the F1 teams!!
Seems to me, they have it made, when it comes to "free" advertising!