It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 342 is not a prime number.
For example, 513 342 can be divided by 2: 513 342 / 2 = 256 671.
For 513 342 to be a prime number, it would have been required that 513 342 has only two divisors, i.e., itself and 1.
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513 342 is an even number, because it is evenly divisible by 2: 513 342 / 2 = 256 671.
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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 513 342 is about 716.479.
Thus, the square root of 513 342 is not an integer, and therefore 513 342 is not a square number.
The square of a number (here 513 342) is the result of the product of this number (513 342) by itself (i.e., 513 342 × 513 342); the square of 513 342 is sometimes called "raising 513 342 to the power 2", or "513 342 squared".
The square of 513 342 is 263 520 008 964 because 513 342 × 513 342 = 513 3422 = 263 520 008 964.
As a consequence, 513 342 is the square root of 263 520 008 964.
The multiples of 513 342 are all integers evenly divisible by 513 342, that is all numbers such that the remainder of the division by 513 342 is zero. There are infinitely many multiples of 513 342. The smallest multiples of 513 342 are: