Can i use iphone adapter to charge ipod?

Hello, I have ipod 5th generation (purchased in 2005), and it's power adapter no longer works. On it is written: output 5.0V 500mA. I wonder if i can use iphone charger. On it is written: output 5.0V 1A. Will it work on it, or is it safe for battery to charge with more powerful adapter at all?

Thanks for help