It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 797 is not a prime number.
For example, 513 797 can be divided by 23: 513 797 / 23 = 22 339.
For 513 797 to be a prime number, it would have been required that 513 797 has only two divisors, i.e., itself and 1.
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513 797 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 513 797 is about 716.796.
Thus, the square root of 513 797 is not an integer, and therefore 513 797 is not a square number.
The square of a number (here 513 797) is the result of the product of this number (513 797) by itself (i.e., 513 797 × 513 797); the square of 513 797 is sometimes called "raising 513 797 to the power 2", or "513 797 squared".
The square of 513 797 is 263 987 357 209 because 513 797 × 513 797 = 513 7972 = 263 987 357 209.
As a consequence, 513 797 is the square root of 263 987 357 209.
The multiples of 513 797 are all integers evenly divisible by 513 797, that is all numbers such that the remainder of the division by 513 797 is zero. There are infinitely many multiples of 513 797. The smallest multiples of 513 797 are: