It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 497 is not a prime number.
For example, 513 497 can be divided by 181: 513 497 / 181 = 2 837.
For 513 497 to be a prime number, it would have been required that 513 497 has only two divisors, i.e., itself and 1.
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513 497 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 513 497 is about 716.587.
Thus, the square root of 513 497 is not an integer, and therefore 513 497 is not a square number.
The square of a number (here 513 497) is the result of the product of this number (513 497) by itself (i.e., 513 497 × 513 497); the square of 513 497 is sometimes called "raising 513 497 to the power 2", or "513 497 squared".
The square of 513 497 is 263 679 169 009 because 513 497 × 513 497 = 513 4972 = 263 679 169 009.
As a consequence, 513 497 is the square root of 263 679 169 009.
The multiples of 513 497 are all integers evenly divisible by 513 497, that is all numbers such that the remainder of the division by 513 497 is zero. There are infinitely many multiples of 513 497. The smallest multiples of 513 497 are: