5056 has 14 divisors (see below), whose sum is σ = 10160. Its totient is φ = 2496.

The previous prime is 5051. The next prime is 5059. The reversal of 5056 is 6505.

It is a happy number.

5056 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25 + ... + 103.

2⁵⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080).

5056 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5056 is an equidigital number, since it uses as much as digits as its factorization.

5056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5056 is about 71.1055553385. The cubic root of 5056 is about 17.1633617081.

The spelling of 5056 in words is "five thousand, fifty-six".