8064007113 has 32 divisors (see below), whose sum is σ = 11446681600. Its totient is φ = 5035395456.

The previous prime is 8064007099. The next prime is 8064007157. The reversal of 8064007113 is 3117004608.

It is a happy number.

It is not a de Polignac number, because 8064007113 - 2²⁸ = 7795571657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8064002113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2264028 + ... + 2267586.

It is an arithmetic number, because the mean of its divisors is an integer number (357708800).

Almost surely, 2^8064007113 is an apocalyptic number.

It is an amenable number.

8064007113 is a deficient number, since it is larger than the sum of its proper divisors (3382674487).

8064007113 is a wasteful number, since it uses less digits than its factorization.

8064007113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 8064007113 is about 89799.8168873411. The cubic root of 8064007113 is about 2005.3197635953.

The spelling of 8064007113 in words is "eight billion, sixty-four million, seven thousand, one hundred thirteen".