5013093888 has 480 divisors, whose sum is σ = 16958393760. Its totient is φ = 1478062080.

The previous prime is 5013093871. The next prime is 5013093913. The reversal of 5013093888 is 8883903105.

5013093888 is a `hidden beast` number, since 501 + 30 + 9 + 38 + 88 = 666.

It is a super-2 number, since 2×5013093888² = 50262220659805913088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135489006 + ... + 135489042.

It is an arithmetic number, because the mean of its divisors is an integer number (35329987).

Almost surely, 2^5013093888 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 5013093888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8479196880).

5013093888 is an abundant number, since it is smaller than the sum of its proper divisors (11945299872).

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

5013093888 is an frugal number, since it uses more digits than its factorization.

5013093888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5013093888 is about 70803.2053511704. The cubic root of 5013093888 is about 1711.4673278034.

The spelling of 5013093888 in words is "five billion, thirteen million, ninety-three thousand, eight hundred eighty-eight".