It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 463 is not a prime number.
For example, 513 463 can be divided by 43: 513 463 / 43 = 11 941.
For 513 463 to be a prime number, it would have been required that 513 463 has only two divisors, i.e., itself and 1.
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513 463 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 513 463 is about 716.563.
Thus, the square root of 513 463 is not an integer, and therefore 513 463 is not a square number.
The square of a number (here 513 463) is the result of the product of this number (513 463) by itself (i.e., 513 463 × 513 463); the square of 513 463 is sometimes called "raising 513 463 to the power 2", or "513 463 squared".
The square of 513 463 is 263 644 252 369 because 513 463 × 513 463 = 513 4632 = 263 644 252 369.
As a consequence, 513 463 is the square root of 263 644 252 369.
The multiples of 513 463 are all integers evenly divisible by 513 463, that is all numbers such that the remainder of the division by 513 463 is zero. There are infinitely many multiples of 513 463. The smallest multiples of 513 463 are: