20517607117617 has 16 divisors (see below), whose sum is σ = 28694143966848. Its totient is φ = 13015900339200.

The previous prime is 20517607117607. The next prime is 20517607117621. The reversal of 20517607117617 is 71671170671502.

It is a happy number.

It is not a de Polignac number, because 20517607117617 - 2¹¹ = 20517607115569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20517607117617.

It is not an unprimeable number, because it can be changed into a prime (20517607117607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770340634 + ... + 770367267.

It is an arithmetic number, because the mean of its divisors is an integer number (1793383997928).

Almost surely, 2^{20517607117617} is an apocalyptic number.

It is an amenable number.

20517607117617 is a deficient number, since it is larger than the sum of its proper divisors (8176536849231).

20517607117617 is a wasteful number, since it uses less digits than its factorization.

20517607117617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540708120.

The product of its (nonzero) digits is 864360, while the sum is 51.

The spelling of 20517607117617 in words is "twenty trillion, five hundred seventeen billion, six hundred seven million, one hundred seventeen thousand, six hundred seventeen".