51006506101617 has 16 divisors (see below), whose sum is σ = 74191987730880. Its totient is φ = 30912739780800.

The previous prime is 51006506101561. The next prime is 51006506101643. The reversal of 51006506101617 is 71610160560015.

It is not a de Polignac number, because 51006506101617 - 2⁷ = 51006506101489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51006507101617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3810234 + ... + 10794947.

It is an arithmetic number, because the mean of its divisors is an integer number (4636999233180).

Almost surely, 2^{51006506101617} is an apocalyptic number.

It is an amenable number.

51006506101617 is a deficient number, since it is larger than the sum of its proper divisors (23185481629263).

51006506101617 is a wasteful number, since it uses less digits than its factorization.

51006506101617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14711024.

The product of its (nonzero) digits is 37800, while the sum is 39.

The spelling of 51006506101617 in words is "fifty-one trillion, six billion, five hundred six million, one hundred one thousand, six hundred seventeen".