It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 634 is not a prime number.
For example, 509 634 can be divided by 2: 509 634 / 2 = 254 817.
For 509 634 to be a prime number, it would have been required that 509 634 has only two divisors, i.e., itself and 1.
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509 634 is an even number, because it is evenly divisible by 2: 509 634 / 2 = 254 817.
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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 509 634 is about 713.887.
Thus, the square root of 509 634 is not an integer, and therefore 509 634 is not a square number.
The square of a number (here 509 634) is the result of the product of this number (509 634) by itself (i.e., 509 634 × 509 634); the square of 509 634 is sometimes called "raising 509 634 to the power 2", or "509 634 squared".
The square of 509 634 is 259 726 813 956 because 509 634 × 509 634 = 509 6342 = 259 726 813 956.
As a consequence, 509 634 is the square root of 259 726 813 956.
The multiples of 509 634 are all integers evenly divisible by 509 634, that is all numbers such that the remainder of the division by 509 634 is zero. There are infinitely many multiples of 509 634. The smallest multiples of 509 634 are: