10001005056006 has 16 divisors (see below), whose sum is σ = 20020343773248. Its totient is φ = 3330612741800.

The previous prime is 10001005055953. The next prime is 10001005056023. The reversal of 10001005056006 is 60065050010001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763895460 + ... + 763908551.

It is an arithmetic number, because the mean of its divisors is an integer number (1251271485828).

Almost surely, 2^{10001005056006} is an apocalyptic number.

10001005056006 is an abundant number, since it is smaller than the sum of its proper divisors (10019338717242).

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

10001005056006 is a wasteful number, since it uses less digits than its factorization.

10001005056006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527805107.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 10001005056006 its reverse (60065050010001), we get a palindrome (70066055066007).

The spelling of 10001005056006 in words is "ten trillion, one billion, five million, fifty-six thousand, six".