It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 130 509 is not a prime number.
For example, 130 509 can be divided by 3: 130 509 / 3 = 43 503.
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For 130 509 to be a prime number, it would have been required that 130 509 has only two divisors, i.e., itself and 1.
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130 509 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 130 509 is about 361.260.
Thus, the square root of 130 509 is not an integer, and therefore 130 509 is not a square number.
The square of a number (here 130 509) is the result of the product of this number (130 509) by itself (i.e., 130 509 × 130 509); the square of 130 509 is sometimes called "raising 130 509 to the power 2", or "130 509 squared".
The square of 130 509 is 17 032 599 081 because 130 509 × 130 509 = 130 5092 = 17 032 599 081.
As a consequence, 130 509 is the square root of 17 032 599 081.
The multiples of 130 509 are all integers evenly divisible by 130 509, that is all numbers such that the remainder of the division by 130 509 is zero. There are infinitely many multiples of 130 509. The smallest multiples of 130 509 are: