5005116 has 36 divisors (see below), whose sum is σ = 12964224. Its totient is φ = 1627200.

The previous prime is 5005087. The next prime is 5005127. The reversal of 5005116 is 6115005.

5005116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220 + ... + 3171.

Almost surely, 2^5005116 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 5005116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482112).

5005116 is an abundant number, since it is smaller than the sum of its proper divisors (7959108).

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

5005116 is a wasteful number, since it uses less digits than its factorization.

5005116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5005116 is about 2237.2116573986. The cubic root of 5005116 is about 171.0558963670.

The spelling of 5005116 in words is "five million, five thousand, one hundred sixteen".