6001005006 has 24 divisors (see below), whose sum is σ = 13049127624. Its totient is φ = 1993111920.

The previous prime is 6001005001. The next prime is 6001005019. The reversal of 6001005006 is 6005001006.

6001005006 is a `hidden beast` number, since 60 + 0 + 100 + 500 + 6 = 666.

It is a super-2 number, since 2×6001005006² = 72024122164074120072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 6001005006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001005001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 596800 + ... + 606771.

It is an arithmetic number, because the mean of its divisors is an integer number (543713651).

Almost surely, 2^6001005006 is an apocalyptic number.

6001005006 is an abundant number, since it is smaller than the sum of its proper divisors (7048122618).

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

6001005006 is a wasteful number, since it uses less digits than its factorization.

6001005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203856 (or 1203853 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6001005006 is about 77466.1539383491. The cubic root of 6001005006 is about 1817.2220436735. Note that the first 3 decimals are identical.

The spelling of 6001005006 in words is "six billion, one million, five thousand, six".