5013308160 has 1152 divisors, whose sum is σ = 22887567360. Its totient is φ = 1012137984.

The previous prime is 5013308141. The next prime is 5013308173. The reversal of 5013308160 is 618033105.

5013308160 = 5500² + 5501² + ... + 5660².

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94590694 + ... + 94590746.

It is an arithmetic number, because the mean of its divisors is an integer number (19867680).

Almost surely, 2^5013308160 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 5013308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11443783680).

5013308160 is an abundant number, since it is smaller than the sum of its proper divisors (17874259200).

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

5013308160 is a wasteful number, since it uses less digits than its factorization.

5013308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5013308160 is about 70804.7184868353. The cubic root of 5013308160 is about 1711.4917115679.

The spelling of 5013308160 in words is "five billion, thirteen million, three hundred eight thousand, one hundred sixty".