It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 598 is not a prime number.
For example, 509 598 can be divided by 2: 509 598 / 2 = 254 799.
For 509 598 to be a prime number, it would have been required that 509 598 has only two divisors, i.e., itself and 1.
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509 598 is an even number, because it is evenly divisible by 2: 509 598 / 2 = 254 799.
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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 509 598 is about 713.861.
Thus, the square root of 509 598 is not an integer, and therefore 509 598 is not a square number.
The square of a number (here 509 598) is the result of the product of this number (509 598) by itself (i.e., 509 598 × 509 598); the square of 509 598 is sometimes called "raising 509 598 to the power 2", or "509 598 squared".
The square of 509 598 is 259 690 121 604 because 509 598 × 509 598 = 509 5982 = 259 690 121 604.
As a consequence, 509 598 is the square root of 259 690 121 604.
The multiples of 509 598 are all integers evenly divisible by 509 598, that is all numbers such that the remainder of the division by 509 598 is zero. There are infinitely many multiples of 509 598. The smallest multiples of 509 598 are: