It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 464 is not a prime number.
For example, 513 464 can be divided by 2: 513 464 / 2 = 256 732.
For 513 464 to be a prime number, it would have been required that 513 464 has only two divisors, i.e., itself and 1.
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513 464 is an even number, because it is evenly divisible by 2: 513 464 / 2 = 256 732.
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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 513 464 is about 716.564.
Thus, the square root of 513 464 is not an integer, and therefore 513 464 is not a square number.
The square of a number (here 513 464) is the result of the product of this number (513 464) by itself (i.e., 513 464 × 513 464); the square of 513 464 is sometimes called "raising 513 464 to the power 2", or "513 464 squared".
The square of 513 464 is 263 645 279 296 because 513 464 × 513 464 = 513 4642 = 263 645 279 296.
As a consequence, 513 464 is the square root of 263 645 279 296.
The multiples of 513 464 are all integers evenly divisible by 513 464, that is all numbers such that the remainder of the division by 513 464 is zero. There are infinitely many multiples of 513 464. The smallest multiples of 513 464 are: