6001001006 has 32 divisors (see below), whose sum is σ = 12085936128. Its totient is φ = 2158201440.

The previous prime is 6001000981. The next prime is 6001001023.

6001001006 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1496750 + ... + 1500753.

It is an arithmetic number, because the mean of its divisors is an integer number (377685504).

Almost surely, 2^6001001006 is an apocalyptic number.

6001001006 is an abundant number, since it is smaller than the sum of its proper divisors (6084935122).

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

6001001006 is a wasteful number, since it uses less digits than its factorization.

6001001006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997536.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 6001001006 is about 77466.1281206180. The cubic root of 6001001006 is about 1817.2216399139.

It can be divided in two parts, 600100 and 1006, that added together give a palindrome (601106).

The spelling of 6001001006 in words is "six billion, one million, one thousand, six".