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That is called "Parent's Benefits" for survivors. You must have been dependent on your child at the time of his death as you stated.
You can apply for benefits by calling our national toll-free service at 1-***-***-****(TTY 1-***-***-****) or by visiting your local Social Security office. An appointment is not required, but if you call ahead and schedule one, it may reduce the time you spend waiting to apply.
The parent of a deceased child that they were dependent on can receive up to 82½ percent of the amount their child was receiving.
When you already receive benefits the calculation will generally be your own and then some from the survivor benefit. They would not just add his total to your benefit.
Call the number I supplied at the beginning.
Checking back to see if you need me to clarify the information.