It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 537 009 is not a prime number.
For example, 537 009 can be divided by 3: 537 009 / 3 = 179 003.
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For 537 009 to be a prime number, it would have been required that 537 009 has only two divisors, i.e., itself and 1.
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537 009 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 537 009 is about 732.809.
Thus, the square root of 537 009 is not an integer, and therefore 537 009 is not a square number.
The square of a number (here 537 009) is the result of the product of this number (537 009) by itself (i.e., 537 009 × 537 009); the square of 537 009 is sometimes called "raising 537 009 to the power 2", or "537 009 squared".
The square of 537 009 is 288 378 666 081 because 537 009 × 537 009 = 537 0092 = 288 378 666 081.
As a consequence, 537 009 is the square root of 288 378 666 081.
The multiples of 537 009 are all integers evenly divisible by 537 009, that is all numbers such that the remainder of the division by 537 009 is zero. There are infinitely many multiples of 537 009. The smallest multiples of 537 009 are: