Different types of  Inverter Battery Available here

Lithium
Acid
Gel

What is inverter and battery?

Batteries and other energy storage devices store energy so that it can be used when needed. … An inverter in a grid connected renewable energy system converts direct current (DC) electricity from solar panels or a wind turbine into alternating current (AC) mains power.

How long will a 12v lead acid battery last when connected on a 500 watts inverter subjected with a 65 watts load?

Let’s suppose that your battery have 100 amper-hour. You load is consuming a courant which is 65w/ 12v= 5.42A. The time the battery will long is 100 Ah/ 5,42= 18,45 hours.