It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 883 513 is not a prime number.
For example, 513 883 513 can be divided by 11: 513 883 513 / 11 = 46 716 683.
For 513 883 513 to be a prime number, it would have been required that 513 883 513 has only two divisors, i.e., itself and 1.
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513 883 513 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 513 883 513 is about 22 668.999.
Thus, the square root of 513 883 513 is not an integer, and therefore 513 883 513 is not a square number.
The square of a number (here 513 883 513) is the result of the product of this number (513 883 513) by itself (i.e., 513 883 513 × 513 883 513); the square of 513 883 513 is sometimes called "raising 513 883 513 to the power 2", or "513 883 513 squared".
The square of 513 883 513 is 264 076 264 933 221 184 because 513 883 513 × 513 883 513 = 513 883 5132 = 264 076 264 933 221 184.
As a consequence, 513 883 513 is the square root of 264 076 264 933 221 184.
513 883 513 is a number with 9 digits.
The multiples of 513 883 513 are all integers evenly divisible by 513 883 513, that is all numbers such that the remainder of the division by 513 883 513 is zero. There are infinitely many multiples of 513 883 513. The smallest multiples of 513 883 513 are: