It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 324 is not a prime number.
For example, 513 324 can be divided by 2: 513 324 / 2 = 256 662.
For 513 324 to be a prime number, it would have been required that 513 324 has only two divisors, i.e., itself and 1.
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513 324 is an even number, because it is evenly divisible by 2: 513 324 / 2 = 256 662.
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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 513 324 is about 716.466.
Thus, the square root of 513 324 is not an integer, and therefore 513 324 is not a square number.
The square of a number (here 513 324) is the result of the product of this number (513 324) by itself (i.e., 513 324 × 513 324); the square of 513 324 is sometimes called "raising 513 324 to the power 2", or "513 324 squared".
The square of 513 324 is 263 501 528 976 because 513 324 × 513 324 = 513 3242 = 263 501 528 976.
As a consequence, 513 324 is the square root of 263 501 528 976.
The multiples of 513 324 are all integers evenly divisible by 513 324, that is all numbers such that the remainder of the division by 513 324 is zero. There are infinitely many multiples of 513 324. The smallest multiples of 513 324 are: