Please check your bill again. The banner across its top and the red seal indicate it's a United States Note, a form of paper money issued directly by the Federal government. US Notes were discontinued in the 1960s. $2 Federal Reserve Notes were first printed in 1976.
There's more information at the question "What is the value of a 1953 C US 2 dollar bill?"
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U.S. Notes have red seals. Federal Reserve Notes have green seals. See the related question for U.S. Notes.
To clear things up:Bills are printed. The US Mint only makes coins.There isn't a mint in Atlanta. Atlanta is the location of one of the 12 regional Federal Reserve Banks that distribute Federal Reserve Notes.However if your bill has a seal with the letter "F" in a circle with the words "Federal Reserve Bank of Atlanta Georgia", its date can't be 1953 because no $5 Federal Reserve Notes carry that date. Please check the date on your bill again and look at the question "What is the value of a (date) US 5 dollar bill?" for more information.
The value of a 1953 A US 10 dollar Federal Reserve Note can vary depending on its condition, rarity, and any unique characteristics it may have. In general, these notes typically sell for around $20 to $30 in circulated condition. However, if the note is in uncirculated condition or has any special features such as errors or unique serial numbers, its value could be significantly higher. It is recommended to have the note evaluated by a professional currency dealer or grading service to determine its precise value.
Please check your bill again. Red seal $5 bills were issued in 1953 and 1963. No US bills were dated 1962. There's more information at the questions"What is the value of a 1953 US 5 dollar bill with a red seal?""What is the value of a 1963 US 5 dollar bill with a red seal?"Red InkRed ink indicates that a bill is a United States Note, a now-obsolete form of paper money that was similar to current Federal Reserve Notes.
No $10 silver certificates have been printed since the 1953 series. As you can see by looking at the top of the bill, it's a Federal Reserve Note.