It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 163 is not a prime number.
For example, 513 163 can be divided by 7: 513 163 / 7 = 73 309.
For 513 163 to be a prime number, it would have been required that 513 163 has only two divisors, i.e., itself and 1.
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513 163 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 513 163 is about 716.354.
Thus, the square root of 513 163 is not an integer, and therefore 513 163 is not a square number.
The square of a number (here 513 163) is the result of the product of this number (513 163) by itself (i.e., 513 163 × 513 163); the square of 513 163 is sometimes called "raising 513 163 to the power 2", or "513 163 squared".
The square of 513 163 is 263 336 264 569 because 513 163 × 513 163 = 513 1632 = 263 336 264 569.
As a consequence, 513 163 is the square root of 263 336 264 569.
The multiples of 513 163 are all integers evenly divisible by 513 163, that is all numbers such that the remainder of the division by 513 163 is zero. There are infinitely many multiples of 513 163. The smallest multiples of 513 163 are: