It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 442 is not a prime number.
For example, 513 442 can be divided by 2: 513 442 / 2 = 256 721.
For 513 442 to be a prime number, it would have been required that 513 442 has only two divisors, i.e., itself and 1.
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513 442 is an even number, because it is evenly divisible by 2: 513 442 / 2 = 256 721.
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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 513 442 is about 716.549.
Thus, the square root of 513 442 is not an integer, and therefore 513 442 is not a square number.
The square of a number (here 513 442) is the result of the product of this number (513 442) by itself (i.e., 513 442 × 513 442); the square of 513 442 is sometimes called "raising 513 442 to the power 2", or "513 442 squared".
The square of 513 442 is 263 622 687 364 because 513 442 × 513 442 = 513 4422 = 263 622 687 364.
As a consequence, 513 442 is the square root of 263 622 687 364.
The multiples of 513 442 are all integers evenly divisible by 513 442, that is all numbers such that the remainder of the division by 513 442 is zero. There are infinitely many multiples of 513 442. The smallest multiples of 513 442 are: