It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 614 is not a prime number.
For example, 509 614 can be divided by 2: 509 614 / 2 = 254 807.
For 509 614 to be a prime number, it would have been required that 509 614 has only two divisors, i.e., itself and 1.
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509 614 is an even number, because it is evenly divisible by 2: 509 614 / 2 = 254 807.
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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 509 614 is about 713.873.
Thus, the square root of 509 614 is not an integer, and therefore 509 614 is not a square number.
The square of a number (here 509 614) is the result of the product of this number (509 614) by itself (i.e., 509 614 × 509 614); the square of 509 614 is sometimes called "raising 509 614 to the power 2", or "509 614 squared".
The square of 509 614 is 259 706 428 996 because 509 614 × 509 614 = 509 6142 = 259 706 428 996.
As a consequence, 509 614 is the square root of 259 706 428 996.
The multiples of 509 614 are all integers evenly divisible by 509 614, that is all numbers such that the remainder of the division by 509 614 is zero. There are infinitely many multiples of 509 614. The smallest multiples of 509 614 are: