It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 159 is not a prime number.
For example, 509 159 can be divided by 7: 509 159 / 7 = 72 737.
For 509 159 to be a prime number, it would have been required that 509 159 has only two divisors, i.e., itself and 1.
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509 159 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 509 159 is about 713.554.
Thus, the square root of 509 159 is not an integer, and therefore 509 159 is not a square number.
The square of a number (here 509 159) is the result of the product of this number (509 159) by itself (i.e., 509 159 × 509 159); the square of 509 159 is sometimes called "raising 509 159 to the power 2", or "509 159 squared".
The square of 509 159 is 259 242 887 281 because 509 159 × 509 159 = 509 1592 = 259 242 887 281.
As a consequence, 509 159 is the square root of 259 242 887 281.
The multiples of 509 159 are all integers evenly divisible by 509 159, that is all numbers such that the remainder of the division by 509 159 is zero. There are infinitely many multiples of 509 159. The smallest multiples of 509 159 are: