5005733993 has 32 divisors (see below), whose sum is σ = 5807440800. Its totient is φ = 4280371200.

The previous prime is 5005733989. The next prime is 5005734029. The reversal of 5005733993 is 3993375005.

It can be written as a sum of positive squares in 16 ways, for example, as 4994531584 + 11202409 = 70672^2 + 3347^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005733993 - 2² = 5005733989 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5005733933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940223 + ... + 945531.

It is an arithmetic number, because the mean of its divisors is an integer number (181482525).

Almost surely, 2^5005733993 is an apocalyptic number.

It is an amenable number.

5005733993 is a deficient number, since it is larger than the sum of its proper divisors (801706807).

5005733993 is a wasteful number, since it uses less digits than its factorization.

5005733993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453.

The product of its (nonzero) digits is 382725, while the sum is 44.

The square root of 5005733993 is about 70751.2119542839. The cubic root of 5005733993 is about 1710.6293629686.

The spelling of 5005733993 in words is "five billion, five million, seven hundred thirty-three thousand, nine hundred ninety-three".