It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 346 is not a prime number.
For example, 513 346 can be divided by 2: 513 346 / 2 = 256 673.
For 513 346 to be a prime number, it would have been required that 513 346 has only two divisors, i.e., itself and 1.
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513 346 is an even number, because it is evenly divisible by 2: 513 346 / 2 = 256 673.
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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 513 346 is about 716.482.
Thus, the square root of 513 346 is not an integer, and therefore 513 346 is not a square number.
The square of a number (here 513 346) is the result of the product of this number (513 346) by itself (i.e., 513 346 × 513 346); the square of 513 346 is sometimes called "raising 513 346 to the power 2", or "513 346 squared".
The square of 513 346 is 263 524 115 716 because 513 346 × 513 346 = 513 3462 = 263 524 115 716.
As a consequence, 513 346 is the square root of 263 524 115 716.
The multiples of 513 346 are all integers evenly divisible by 513 346, that is all numbers such that the remainder of the division by 513 346 is zero. There are infinitely many multiples of 513 346. The smallest multiples of 513 346 are: