It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 134 is not a prime number.
For example, 509 134 can be divided by 2: 509 134 / 2 = 254 567.
For 509 134 to be a prime number, it would have been required that 509 134 has only two divisors, i.e., itself and 1.
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509 134 is an even number, because it is evenly divisible by 2: 509 134 / 2 = 254 567.
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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 509 134 is about 713.536.
Thus, the square root of 509 134 is not an integer, and therefore 509 134 is not a square number.
The square of a number (here 509 134) is the result of the product of this number (509 134) by itself (i.e., 509 134 × 509 134); the square of 509 134 is sometimes called "raising 509 134 to the power 2", or "509 134 squared".
The square of 509 134 is 259 217 429 956 because 509 134 × 509 134 = 509 1342 = 259 217 429 956.
As a consequence, 509 134 is the square root of 259 217 429 956.
The multiples of 509 134 are all integers evenly divisible by 509 134, that is all numbers such that the remainder of the division by 509 134 is zero. There are infinitely many multiples of 509 134. The smallest multiples of 509 134 are: