It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 742 is not a prime number.
For example, 513 742 can be divided by 2: 513 742 / 2 = 256 871.
For 513 742 to be a prime number, it would have been required that 513 742 has only two divisors, i.e., itself and 1.
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513 742 is an even number, because it is evenly divisible by 2: 513 742 / 2 = 256 871.
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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 513 742 is about 716.758.
Thus, the square root of 513 742 is not an integer, and therefore 513 742 is not a square number.
The square of a number (here 513 742) is the result of the product of this number (513 742) by itself (i.e., 513 742 × 513 742); the square of 513 742 is sometimes called "raising 513 742 to the power 2", or "513 742 squared".
The square of 513 742 is 263 930 842 564 because 513 742 × 513 742 = 513 7422 = 263 930 842 564.
As a consequence, 513 742 is the square root of 263 930 842 564.
The multiples of 513 742 are all integers evenly divisible by 513 742, that is all numbers such that the remainder of the division by 513 742 is zero. There are infinitely many multiples of 513 742. The smallest multiples of 513 742 are: