21601677313017 has 24 divisors (see below), whose sum is σ = 31297777401800. Its totient is φ = 14357124080640.

The previous prime is 21601677312973. The next prime is 21601677313057. The reversal of 21601677313017 is 71031377610612.

21601677313017 is a `hidden beast` number, since 2 + 1 + 601 + 6 + 7 + 7 + 3 + 1 + 30 + 1 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2510510322681 + 19091166990336 = 1584459^2 + 4369344^2 .

It is not a de Polignac number, because 21601677313017 - 2⁶ = 21601677312953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21601677313057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15936483 + ... + 17238759.

Almost surely, 2^{21601677313017} is an apocalyptic number.

It is an amenable number.

21601677313017 is a deficient number, since it is larger than the sum of its proper divisors (9696100088783).

21601677313017 is a wasteful number, since it uses less digits than its factorization.

21601677313017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307913 (or 1307910 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 21601677313017 in words is "twenty-one trillion, six hundred one billion, six hundred seventy-seven million, three hundred thirteen thousand, seventeen".