It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 513 is not a prime number.
For example, 165 513 can be divided by 3: 165 513 / 3 = 55 171.
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For 165 513 to be a prime number, it would have been required that 165 513 has only two divisors, i.e., itself and 1.
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165 513 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 165 513 is about 406.833.
Thus, the square root of 165 513 is not an integer, and therefore 165 513 is not a square number.
The square of a number (here 165 513) is the result of the product of this number (165 513) by itself (i.e., 165 513 × 165 513); the square of 165 513 is sometimes called "raising 165 513 to the power 2", or "165 513 squared".
The square of 165 513 is 27 394 553 169 because 165 513 × 165 513 = 165 5132 = 27 394 553 169.
As a consequence, 165 513 is the square root of 27 394 553 169.
The multiples of 165 513 are all integers evenly divisible by 165 513, that is all numbers such that the remainder of the division by 165 513 is zero. There are infinitely many multiples of 165 513. The smallest multiples of 165 513 are: