2006009006001 has 64 divisors (see below), whose sum is σ = 3650049048576. Its totient is φ = 946153094400.

The previous prime is 2006009005997. The next prime is 2006009006017. The reversal of 2006009006001 is 1006009006002.

It is not a de Polignac number, because 2006009006001 - 2² = 2006009005997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2006009006081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5292241 + ... + 5658606.

It is an arithmetic number, because the mean of its divisors is an integer number (57032016384).

Almost surely, 2^{2006009006001} is an apocalyptic number.

2006009006001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2006009006001 is a deficient number, since it is larger than the sum of its proper divisors (1644040042575).

2006009006001 is a wasteful number, since it uses less digits than its factorization.

2006009006001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10950942.

The product of its (nonzero) digits is 648, while the sum is 24.

Subtracting from 2006009006001 its reverse (1006009006002), we obtain a palindrome (999999999999).

The spelling of 2006009006001 in words is "two trillion, six billion, nine million, six thousand, one".