It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 494 is not a prime number.
For example, 509 494 can be divided by 2: 509 494 / 2 = 254 747.
For 509 494 to be a prime number, it would have been required that 509 494 has only two divisors, i.e., itself and 1.
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509 494 is an even number, because it is evenly divisible by 2: 509 494 / 2 = 254 747.
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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 509 494 is about 713.788.
Thus, the square root of 509 494 is not an integer, and therefore 509 494 is not a square number.
The square of a number (here 509 494) is the result of the product of this number (509 494) by itself (i.e., 509 494 × 509 494); the square of 509 494 is sometimes called "raising 509 494 to the power 2", or "509 494 squared".
The square of 509 494 is 259 584 136 036 because 509 494 × 509 494 = 509 4942 = 259 584 136 036.
As a consequence, 509 494 is the square root of 259 584 136 036.
The multiples of 509 494 are all integers evenly divisible by 509 494, that is all numbers such that the remainder of the division by 509 494 is zero. There are infinitely many multiples of 509 494. The smallest multiples of 509 494 are: