After the unit stops paying social security, how can individuals continue to pay social security?

As far as I know, there are two ways for individuals to pay social security: after re-employment, the new unit will continue to pay, even if it stops paying for one or two months, it will not have much impact on individuals. Or continue to pay as an individual, you need to go to the social security bureau window to change the subject of payment. When choosing the departure time and communicating with the original unit, it is necessary to determine the month when the social security payment is interrupted to avoid the interruption of social security payment.