It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 428 is not a prime number.
For example, 513 428 can be divided by 2: 513 428 / 2 = 256 714.
For 513 428 to be a prime number, it would have been required that 513 428 has only two divisors, i.e., itself and 1.
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513 428 is an even number, because it is evenly divisible by 2: 513 428 / 2 = 256 714.
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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 513 428 is about 716.539.
Thus, the square root of 513 428 is not an integer, and therefore 513 428 is not a square number.
The square of a number (here 513 428) is the result of the product of this number (513 428) by itself (i.e., 513 428 × 513 428); the square of 513 428 is sometimes called "raising 513 428 to the power 2", or "513 428 squared".
The square of 513 428 is 263 608 311 184 because 513 428 × 513 428 = 513 4282 = 263 608 311 184.
As a consequence, 513 428 is the square root of 263 608 311 184.
The multiples of 513 428 are all integers evenly divisible by 513 428, that is all numbers such that the remainder of the division by 513 428 is zero. There are infinitely many multiples of 513 428. The smallest multiples of 513 428 are: