If its 500watts rms, which i very doubt then it will be a pretty huge amp possibly made from a giant heatsink and/or with fans on. Its its car audio and PMPO then a 500watt amp will be fine.
I drove some 75watt (per channel) speakers with a 20watt amp for years
Just in perspective, my housemate has a 150watt line 6 amp. It stands at around 4 foot tall (so bigger than my grandma!)