8007073011 has 24 divisors (see below), whose sum is σ = 13277322240. Its totient is φ = 4554944496.

The previous prime is 8007073003. The next prime is 8007073021. The reversal of 8007073011 is 1103707008.

It is not a de Polignac number, because 8007073011 - 2³ = 8007073003 is a prime.

It is a super-2 number, since 2×8007073011² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8007073001) 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 23 ways as a sum of consecutive naturals, for example, 270921 + ... + 299018.

It is an arithmetic number, because the mean of its divisors is an integer number (553221760).

Almost surely, 2^8007073011 is an apocalyptic number.

8007073011 is a deficient number, since it is larger than the sum of its proper divisors (5270249229).

8007073011 is a wasteful number, since it uses less digits than its factorization.

8007073011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570175 (or 570172 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 8007073011 is about 89482.2496979149. The cubic root of 8007073011 is about 2000.5892439621.

The spelling of 8007073011 in words is "eight billion, seven million, seventy-three thousand, eleven".