It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 158 is not a prime number.
For example, 509 158 can be divided by 2: 509 158 / 2 = 254 579.
For 509 158 to be a prime number, it would have been required that 509 158 has only two divisors, i.e., itself and 1.
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509 158 is an even number, because it is evenly divisible by 2: 509 158 / 2 = 254 579.
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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 509 158 is about 713.553.
Thus, the square root of 509 158 is not an integer, and therefore 509 158 is not a square number.
The square of a number (here 509 158) is the result of the product of this number (509 158) by itself (i.e., 509 158 × 509 158); the square of 509 158 is sometimes called "raising 509 158 to the power 2", or "509 158 squared".
The square of 509 158 is 259 241 868 964 because 509 158 × 509 158 = 509 1582 = 259 241 868 964.
As a consequence, 509 158 is the square root of 259 241 868 964.
The multiples of 509 158 are all integers evenly divisible by 509 158, that is all numbers such that the remainder of the division by 509 158 is zero. There are infinitely many multiples of 509 158. The smallest multiples of 509 158 are: