Motorola KRZR K1m

I have the RAZR V3m (didn't want the KRAZR because its basically made of glass) anywyas, when i turn it off and charge it, then unplug it when it getsa full charge the light stays on even though i have not turned the phone on (its off and says charge complete but is still lit up) is this a flaw in my phone that I should get looked at by tech support? Thanks!