It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 164 is not a prime number.
For example, 513 164 can be divided by 2: 513 164 / 2 = 256 582.
For 513 164 to be a prime number, it would have been required that 513 164 has only two divisors, i.e., itself and 1.
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513 164 is an even number, because it is evenly divisible by 2: 513 164 / 2 = 256 582.
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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 513 164 is about 716.355.
Thus, the square root of 513 164 is not an integer, and therefore 513 164 is not a square number.
The square of a number (here 513 164) is the result of the product of this number (513 164) by itself (i.e., 513 164 × 513 164); the square of 513 164 is sometimes called "raising 513 164 to the power 2", or "513 164 squared".
The square of 513 164 is 263 337 290 896 because 513 164 × 513 164 = 513 1642 = 263 337 290 896.
As a consequence, 513 164 is the square root of 263 337 290 896.
The multiples of 513 164 are all integers evenly divisible by 513 164, that is all numbers such that the remainder of the division by 513 164 is zero. There are infinitely many multiples of 513 164. The smallest multiples of 513 164 are: