Is 10513 a prime number? What are the divisors of 10513?

## Is 10513 a prime number?

Yes, 10513 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 10513, the only two divisors are 1 and 10513. Therefore 10513 is a prime number.

As a consequence, 10513 is only a multiple of 1 and 10513.

Since 10513 is a prime number, 10513 is also a deficient number, that is to say 10513 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10513 without 10513 itself (that is 1, by definition!).

## Parity of 10513

10513 is an odd number, because it is not evenly divisible by 2.

## Is 10513 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 10513 is about 102.533.

Thus, the square root of 10513 is not an integer, and therefore 10513 is not a square number.

Anyway, 10513 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10513?

The square of a number (here 10513) is the result of the product of this number (10513) by itself (i.e., 10513 × 10513); the square of 10513 is sometimes called "raising 10513 to the power 2", or "10513 squared".

The square of 10513 is 110 523 169 because 10513 × 10513 = 105132 = 110 523 169.

As a consequence, 10513 is the square root of 110 523 169.

## Number of digits of 10513

10513 is a number with 5 digits.

## What are the multiples of 10513?

The multiples of 10513 are all integers evenly divisible by 10513, that is all numbers such that the remainder of the division by 10513 is zero. There are infinitely many multiples of 10513. The smallest multiples of 10513 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10513 too, since 0 × 10513 = 0
• 10513: indeed, 10513 is a multiple of itself, since 10513 is evenly divisible by 10513 (we have 10513 / 10513 = 1, so the remainder of this division is indeed zero)
• 21 026: indeed, 21 026 = 10513 × 2
• 31 539: indeed, 31 539 = 10513 × 3
• 42 052: indeed, 42 052 = 10513 × 4
• 52 565: indeed, 52 565 = 10513 × 5
• etc.

## Nearest numbers from 10513

Find out whether some integer is a prime number