82577575802761 has 16 divisors (see below), whose sum is σ = 91842132211200. Its totient is φ = 73731424527360.

The previous prime is 82577575802759. The next prime is 82577575802797. The reversal of 82577575802761 is 16720857577528.

It is a cyclic number.

It is not a de Polignac number, because 82577575802761 - 2¹ = 82577575802759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82577575802461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47964760 + ... + 49656553.

It is an arithmetic number, because the mean of its divisors is an integer number (5740133263200).

Almost surely, 2^{82577575802761} is an apocalyptic number.

It is an amenable number.

82577575802761 is a deficient number, since it is larger than the sum of its proper divisors (9264556408439).

82577575802761 is a wasteful number, since it uses less digits than its factorization.

82577575802761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97623456.

The product of its (nonzero) digits is 460992000, while the sum is 70.

The spelling of 82577575802761 in words is "eighty-two trillion, five hundred seventy-seven billion, five hundred seventy-five million, eight hundred two thousand, seven hundred sixty-one".