## Is 5011 a prime number?

Yes, 5011 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 5011, the only two divisors are 1 and 5011. Therefore 5011 is a prime number.

As a consequence, 5011 is only a multiple of 1 and 5011.

Since 5011 is a prime number, 5011 is also a deficient number, that is to say 5011 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5011 without 5011 itself (that is 1, by definition!).

## Parity of 5011

5011 is an odd number, because it is not evenly divisible by 2.

## Is 5011 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 5011 is about 70.788.

Thus, the square root of 5011 is not an integer, and therefore 5011 is not a square number.

Anyway, 5011 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5011?

The square of a number (here 5011) is the result of the product of this number (5011) by itself (i.e., 5011 × 5011); the square of 5011 is sometimes called "raising 5011 to the power 2", or "5011 squared".

The square of 5011 is 25 110 121 because 5011 × 5011 = 5011^{2} = 25 110 121.

As a consequence, 5011 is the square root of 25 110 121.

## Number of digits of 5011

5011 is a number with 4 digits.

## What are the multiples of 5011?

The multiples of 5011 are all integers evenly divisible by 5011, that is all numbers such that the remainder of the division by 5011 is zero. There are infinitely many multiples of 5011. The smallest multiples of 5011 are:

- 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5011 too, since 0 × 5011 = 0
- 5011: indeed, 5011 is a multiple of itself, since 5011 is evenly divisible by 5011 (we have 5011 / 5011 = 1, so the remainder of this division is indeed zero)
- 10 022: indeed, 10 022 = 5011 × 2
- 15 033: indeed, 15 033 = 5011 × 3
- 20 044: indeed, 20 044 = 5011 × 4
- 25 055: indeed, 25 055 = 5011 × 5
- etc.