Is 4513 a prime number? What are the divisors of 4513?

## Is 4513 a prime number?

Yes, 4513 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 4513, the only two divisors are 1 and 4513. Therefore 4513 is a prime number.

As a consequence, 4513 is only a multiple of 1 and 4513.

Since 4513 is a prime number, 4513 is also a deficient number, that is to say 4513 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4513 without 4513 itself (that is 1, by definition!).

## Parity of 4513

4513 is an odd number, because it is not evenly divisible by 2.

## Is 4513 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 4513 is about 67.179.

Thus, the square root of 4513 is not an integer, and therefore 4513 is not a square number.

Anyway, 4513 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4513?

The square of a number (here 4513) is the result of the product of this number (4513) by itself (i.e., 4513 × 4513); the square of 4513 is sometimes called "raising 4513 to the power 2", or "4513 squared".

The square of 4513 is 20 367 169 because 4513 × 4513 = 45132 = 20 367 169.

As a consequence, 4513 is the square root of 20 367 169.

## Number of digits of 4513

4513 is a number with 4 digits.

## What are the multiples of 4513?

The multiples of 4513 are all integers evenly divisible by 4513, that is all numbers such that the remainder of the division by 4513 is zero. There are infinitely many multiples of 4513. The smallest multiples of 4513 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4513 too, since 0 × 4513 = 0
• 4513: indeed, 4513 is a multiple of itself, since 4513 is evenly divisible by 4513 (we have 4513 / 4513 = 1, so the remainder of this division is indeed zero)
• 9 026: indeed, 9 026 = 4513 × 2
• 13 539: indeed, 13 539 = 4513 × 3
• 18 052: indeed, 18 052 = 4513 × 4
• 22 565: indeed, 22 565 = 4513 × 5
• etc.

## Nearest numbers from 4513

Find out whether some integer is a prime number