83082504682177 has 16 divisors (see below), whose sum is σ = 111551334959232. Its totient is φ = 59759643726720.

The previous prime is 83082504682157. The next prime is 83082504682223. The reversal of 83082504682177 is 77128640528038.

It is a de Polignac number, because none of the positive numbers 2^k-83082504682177 is a prime.

It is a super-3 number, since 3×83082504682177³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83082504682157) 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, 41499751588 + ... + 41499753589.

It is an arithmetic number, because the mean of its divisors is an integer number (6971958434952).

Almost surely, 2^{83082504682177} is an apocalyptic number.

It is an amenable number.

83082504682177 is a deficient number, since it is larger than the sum of its proper divisors (28468830277055).

83082504682177 is a wasteful number, since it uses less digits than its factorization.

83082504682177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82999505208.

The product of its (nonzero) digits is 36126720, while the sum is 61.

The spelling of 83082504682177 in words is "eighty-three trillion, eighty-two billion, five hundred four million, six hundred eighty-two thousand, one hundred seventy-seven".