It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 374 is not a prime number.
For example, 513 374 can be divided by 2: 513 374 / 2 = 256 687.
For 513 374 to be a prime number, it would have been required that 513 374 has only two divisors, i.e., itself and 1.
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513 374 is an even number, because it is evenly divisible by 2: 513 374 / 2 = 256 687.
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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 513 374 is about 716.501.
Thus, the square root of 513 374 is not an integer, and therefore 513 374 is not a square number.
The square of a number (here 513 374) is the result of the product of this number (513 374) by itself (i.e., 513 374 × 513 374); the square of 513 374 is sometimes called "raising 513 374 to the power 2", or "513 374 squared".
The square of 513 374 is 263 552 863 876 because 513 374 × 513 374 = 513 3742 = 263 552 863 876.
As a consequence, 513 374 is the square root of 263 552 863 876.
The multiples of 513 374 are all integers evenly divisible by 513 374, that is all numbers such that the remainder of the division by 513 374 is zero. There are infinitely many multiples of 513 374. The smallest multiples of 513 374 are: