It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 352 is not a prime number.
For example, 513 352 can be divided by 2: 513 352 / 2 = 256 676.
For 513 352 to be a prime number, it would have been required that 513 352 has only two divisors, i.e., itself and 1.
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513 352 is an even number, because it is evenly divisible by 2: 513 352 / 2 = 256 676.
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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 513 352 is about 716.486.
Thus, the square root of 513 352 is not an integer, and therefore 513 352 is not a square number.
The square of a number (here 513 352) is the result of the product of this number (513 352) by itself (i.e., 513 352 × 513 352); the square of 513 352 is sometimes called "raising 513 352 to the power 2", or "513 352 squared".
The square of 513 352 is 263 530 275 904 because 513 352 × 513 352 = 513 3522 = 263 530 275 904.
As a consequence, 513 352 is the square root of 263 530 275 904.
The multiples of 513 352 are all integers evenly divisible by 513 352, that is all numbers such that the remainder of the division by 513 352 is zero. There are infinitely many multiples of 513 352. The smallest multiples of 513 352 are: