It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 052 is not a prime number.
For example, 509 052 can be divided by 2: 509 052 / 2 = 254 526.
For 509 052 to be a prime number, it would have been required that 509 052 has only two divisors, i.e., itself and 1.
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509 052 is an even number, because it is evenly divisible by 2: 509 052 / 2 = 254 526.
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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 509 052 is about 713.479.
Thus, the square root of 509 052 is not an integer, and therefore 509 052 is not a square number.
The square of a number (here 509 052) is the result of the product of this number (509 052) by itself (i.e., 509 052 × 509 052); the square of 509 052 is sometimes called "raising 509 052 to the power 2", or "509 052 squared".
The square of 509 052 is 259 133 938 704 because 509 052 × 509 052 = 509 0522 = 259 133 938 704.
As a consequence, 509 052 is the square root of 259 133 938 704.
The multiples of 509 052 are all integers evenly divisible by 509 052, that is all numbers such that the remainder of the division by 509 052 is zero. There are infinitely many multiples of 509 052. The smallest multiples of 509 052 are: