51606511601001 has 32 divisors (see below), whose sum is σ = 78818700269568. Its totient is φ = 29421888370560.

The previous prime is 51606511600967. The next prime is 51606511601027. The reversal of 51606511601001 is 10010611560615.

It is not a de Polignac number, because 51606511601001 - 2³⁵ = 51572151862633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51606511600001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40021605 + ... + 41290941.

It is an arithmetic number, because the mean of its divisors is an integer number (2463084383424).

Almost surely, 2^{51606511601001} is an apocalyptic number.

It is an amenable number.

51606511601001 is a deficient number, since it is larger than the sum of its proper divisors (27212188668567).

51606511601001 is a wasteful number, since it uses less digits than its factorization.

51606511601001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273781.

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 51606511601001 in words is "fifty-one trillion, six hundred six billion, five hundred eleven million, six hundred one thousand, one".