It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 506 516 is not a prime number.
For example, 506 516 can be divided by 2: 506 516 / 2 = 253 258.
For 506 516 to be a prime number, it would have been required that 506 516 has only two divisors, i.e., itself and 1.
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506 516 is an even number, because it is evenly divisible by 2: 506 516 / 2 = 253 258.
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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 506 516 is about 711.699.
Thus, the square root of 506 516 is not an integer, and therefore 506 516 is not a square number.
The square of a number (here 506 516) is the result of the product of this number (506 516) by itself (i.e., 506 516 × 506 516); the square of 506 516 is sometimes called "raising 506 516 to the power 2", or "506 516 squared".
The square of 506 516 is 256 558 458 256 because 506 516 × 506 516 = 506 5162 = 256 558 458 256.
As a consequence, 506 516 is the square root of 256 558 458 256.
The multiples of 506 516 are all integers evenly divisible by 506 516, that is all numbers such that the remainder of the division by 506 516 is zero. There are infinitely many multiples of 506 516. The smallest multiples of 506 516 are: