5005120 has 28 divisors (see below), whose sum is σ = 11919204. Its totient is φ = 2001920.

The previous prime is 5005087. The next prime is 5005127. The reversal of 5005120 is 215005.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 1132096 = 1968^2 + 1064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5005120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7501 + ... + 8140.

Almost surely, 2^5005120 is an apocalyptic number.

It is an amenable number.

5005120 is an abundant number, since it is smaller than the sum of its proper divisors (6914084).

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

5005120 is a wasteful number, since it uses less digits than its factorization.

5005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15658 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 5005120 is about 2237.2125513683. The cubic root of 5005120 is about 171.0559419353.

It can be divided in two parts, 500 and 5120, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 5005120 in words is "five million, five thousand, one hundred twenty".