Is 13513 a prime number? What are the divisors of 13513?

## Is 13513 a prime number?

Yes, 13513 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 13513, the only two divisors are 1 and 13513. Therefore 13513 is a prime number.

As a consequence, 13513 is only a multiple of 1 and 13513.

Since 13513 is a prime number, 13513 is also a deficient number, that is to say 13513 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 13513 without 13513 itself (that is 1, by definition!).

## Parity of 13513

13513 is an odd number, because it is not evenly divisible by 2.

## Is 13513 a perfect square number?

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 13513 is about 116.245.

Thus, the square root of 13513 is not an integer, and therefore 13513 is not a square number.

Anyway, 13513 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 13513?

The square of a number (here 13513) is the result of the product of this number (13513) by itself (i.e., 13513 × 13513); the square of 13513 is sometimes called "raising 13513 to the power 2", or "13513 squared".

The square of 13513 is 182 601 169 because 13513 × 13513 = 135132 = 182 601 169.

As a consequence, 13513 is the square root of 182 601 169.

## Number of digits of 13513

13513 is a number with 5 digits.

## What are the multiples of 13513?

The multiples of 13513 are all integers evenly divisible by 13513, that is all numbers such that the remainder of the division by 13513 is zero. There are infinitely many multiples of 13513. The smallest multiples of 13513 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 13513 too, since 0 × 13513 = 0
• 13513: indeed, 13513 is a multiple of itself, since 13513 is evenly divisible by 13513 (we have 13513 / 13513 = 1, so the remainder of this division is indeed zero)
• 27 026: indeed, 27 026 = 13513 × 2
• 40 539: indeed, 40 539 = 13513 × 3
• 54 052: indeed, 54 052 = 13513 × 4
• 67 565: indeed, 67 565 = 13513 × 5
• etc.

## Nearest numbers from 13513

Find out whether some integer is a prime number