It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 580 509 is not a prime number.
For example, 580 509 can be divided by 3: 580 509 / 3 = 193 503.
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For 580 509 to be a prime number, it would have been required that 580 509 has only two divisors, i.e., itself and 1.
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580 509 is an odd number, because it is not evenly divisible by 2.
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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 580 509 is about 761.911.
Thus, the square root of 580 509 is not an integer, and therefore 580 509 is not a square number.
The square of a number (here 580 509) is the result of the product of this number (580 509) by itself (i.e., 580 509 × 580 509); the square of 580 509 is sometimes called "raising 580 509 to the power 2", or "580 509 squared".
The square of 580 509 is 336 990 699 081 because 580 509 × 580 509 = 580 5092 = 336 990 699 081.
As a consequence, 580 509 is the square root of 336 990 699 081.
The multiples of 580 509 are all integers evenly divisible by 580 509, that is all numbers such that the remainder of the division by 580 509 is zero. There are infinitely many multiples of 580 509. The smallest multiples of 580 509 are: