It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 059 is not a prime number.
For example, 509 059 can be divided by 23: 509 059 / 23 = 22 133.
For 509 059 to be a prime number, it would have been required that 509 059 has only two divisors, i.e., itself and 1.
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509 059 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 509 059 is about 713.484.
Thus, the square root of 509 059 is not an integer, and therefore 509 059 is not a square number.
The square of a number (here 509 059) is the result of the product of this number (509 059) by itself (i.e., 509 059 × 509 059); the square of 509 059 is sometimes called "raising 509 059 to the power 2", or "509 059 squared".
The square of 509 059 is 259 141 065 481 because 509 059 × 509 059 = 509 0592 = 259 141 065 481.
As a consequence, 509 059 is the square root of 259 141 065 481.
The multiples of 509 059 are all integers evenly divisible by 509 059, that is all numbers such that the remainder of the division by 509 059 is zero. There are infinitely many multiples of 509 059. The smallest multiples of 509 059 are: