No, that is a good temp reading, you would normally not thrash you CPU to that extent. Your real world usage temps are excellent.
After reading a bit about temps and overclocking etc i ran Prime95 just to check how hot my system gets at 100% CPU usage. Should i be worried by 63C?
Should you get close to 85C when overclocking, I would back off as seems to be getting too the danger zone.
Is your OS drive the SSD and the only drive you have installed in the case?