It's version 6.37
The latest PSP update was 6.37
Some games need the latest update, you should update the firmware to the latest version.
Download the latest update, and redownload the games from the PSN.
It depends on the game. If the game needs the latest firmware, it can't be game shared to a PSP without that update.
Yes, it will update to the latest version.
You need the latest version to be able to access the PSN, so just update to the latest, it won't affect your ability to use UMD games.
it is already out the latest is 5.02
'The latest', always.
Yes, I believe so.
To update a chipped PSP, a person must use the system update function manually. From there, the chipped PSP must be upgraded to version 6.60.
Probably 'cause you already have the latest version
To upgrade to the latest version of the PSP system software (currently version 6.10) download the upgrade to your computer and pass it to the PSP, using Settings, via a USB cable or USB memory stick. See links below for download links - note the localised links at the bottom of the page.