This might help when it comes time to shop for new tires for your KLR 650. This is the front and rear wheel parts diagram for a second generation KLR 650. It's probably the same for other generation KLR's, but I can't say for sure. The images show the different wheel part numbers as well as the tires found on a KLR 650, and also the price in my area as of 8/25/2023.
The rear tire size is shown as 130 80/17, but often times when you start shopping for new tires the manufacturer will list the size as 510-17. If you need help understanding these tire size numbers, then view my previous post about motorcycle tire sizes here:
http://www.thesmallengineshop.net/smallengineforum/index.php?topic=192.msg349#msg349Click on image to enlarge:
Click on image to enlarge: