56006106056001 has 12 divisors (see below), whose sum is σ = 81029678916628. Its totient is φ = 37276494728544.

The previous prime is 56006106055997. The next prime is 56006106056099. The reversal of 56006106056001 is 10065060160065.

It can be written as a sum of positive squares in 2 ways, for example, as 3170361863601 + 52835744192400 = 1780551^2 + 7268820^2 .

It is not a de Polignac number, because 56006106056001 - 2² = 56006106055997 is a prime.

It is a super-2 number, since 2×56006106056001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56006106056101) 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, 5075769910 + ... + 5075780943.

Almost surely, 2^{56006106056001} is an apocalyptic number.

It is an amenable number.

56006106056001 is a deficient number, since it is larger than the sum of its proper divisors (25023572860627).

56006106056001 is a wasteful number, since it uses less digits than its factorization.

56006106056001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10151551472 (or 10151551469 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 56006106056001 in words is "fifty-six trillion, six billion, one hundred six million, fifty-six thousand, one".