8005005006 has 16 divisors (see below), whose sum is σ = 16049940048. Its totient is φ = 2661680000.

The previous prime is 8005004993. The next prime is 8005005023. The reversal of 8005005006 is 6005005008.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1661145 + ... + 1665956.

It is an arithmetic number, because the mean of its divisors is an integer number (1003121253).

Almost surely, 2^8005005006 is an apocalyptic number.

8005005006 is an abundant number, since it is smaller than the sum of its proper divisors (8044935042).

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

8005005006 is a wasteful number, since it uses less digits than its factorization.

8005005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327507.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 8005005006 is about 89470.6935593997. The cubic root of 8005005006 is about 2000.4169968841.

The spelling of 8005005006 in words is "eight billion, five million, five thousand, six".