It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 211 513 is not a prime number.
For example, 211 513 can be divided by 31: 211 513 / 31 = 6 823.
For 211 513 to be a prime number, it would have been required that 211 513 has only two divisors, i.e., itself and 1.
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211 513 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 211 513 is about 459.905.
Thus, the square root of 211 513 is not an integer, and therefore 211 513 is not a square number.
The square of a number (here 211 513) is the result of the product of this number (211 513) by itself (i.e., 211 513 × 211 513); the square of 211 513 is sometimes called "raising 211 513 to the power 2", or "211 513 squared".
The square of 211 513 is 44 737 749 169 because 211 513 × 211 513 = 211 5132 = 44 737 749 169.
As a consequence, 211 513 is the square root of 44 737 749 169.
The multiples of 211 513 are all integers evenly divisible by 211 513, that is all numbers such that the remainder of the division by 211 513 is zero. There are infinitely many multiples of 211 513. The smallest multiples of 211 513 are: