It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 506 959 is not a prime number.
For example, 506 959 can be divided by 109: 506 959 / 109 = 4 651.
For 506 959 to be a prime number, it would have been required that 506 959 has only two divisors, i.e., itself and 1.
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506 959 is an odd number, because it is not evenly divisible by 2.
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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 506 959 is about 712.011.
Thus, the square root of 506 959 is not an integer, and therefore 506 959 is not a square number.
The square of a number (here 506 959) is the result of the product of this number (506 959) by itself (i.e., 506 959 × 506 959); the square of 506 959 is sometimes called "raising 506 959 to the power 2", or "506 959 squared".
The square of 506 959 is 257 007 427 681 because 506 959 × 506 959 = 506 9592 = 257 007 427 681.
As a consequence, 506 959 is the square root of 257 007 427 681.
The multiples of 506 959 are all integers evenly divisible by 506 959, that is all numbers such that the remainder of the division by 506 959 is zero. There are infinitely many multiples of 506 959. The smallest multiples of 506 959 are: