It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 437 is not a prime number.
For example, 513 437 can be divided by 19: 513 437 / 19 = 27 023.
For 513 437 to be a prime number, it would have been required that 513 437 has only two divisors, i.e., itself and 1.
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513 437 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 513 437 is about 716.545.
Thus, the square root of 513 437 is not an integer, and therefore 513 437 is not a square number.
The square of a number (here 513 437) is the result of the product of this number (513 437) by itself (i.e., 513 437 × 513 437); the square of 513 437 is sometimes called "raising 513 437 to the power 2", or "513 437 squared".
The square of 513 437 is 263 617 552 969 because 513 437 × 513 437 = 513 4372 = 263 617 552 969.
As a consequence, 513 437 is the square root of 263 617 552 969.
The multiples of 513 437 are all integers evenly divisible by 513 437, that is all numbers such that the remainder of the division by 513 437 is zero. There are infinitely many multiples of 513 437. The smallest multiples of 513 437 are: