6006050100006 has 48 divisors (see below), whose sum is σ = 13277145067200. Its totient is φ = 1809847460080.

The previous prime is 6006050099983. The next prime is 6006050100031. The reversal of 6006050100006 is 6000010506006.

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22978416 + ... + 23238323.

It is an arithmetic number, because the mean of its divisors is an integer number (276607188900).

Almost surely, 2^{6006050100006} is an apocalyptic number.

6006050100006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6006050100006 is an abundant number, since it is smaller than the sum of its proper divisors (7271094967194).

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

6006050100006 is a wasteful number, since it uses less digits than its factorization.

6006050100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46216945 (or 46216934 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 6006050100006 in words is "six trillion, six billion, fifty million, one hundred thousand, six".