Can I apply for retirement in Shanghai if my household registration is in Shanghai, I have paid social security in other places for 25 years and I have been in Shanghai for 5 years?

According to the social security payment regulations, where to pay social security for the longest time is the place to retire. You have paid social security for 25 years in other places, so you should go through retirement procedures in other places. But if you haven't paid social security in the same place for more than 10 years, you can retire in Shanghai, where your hukou is located.