82577508030305 has 32 divisors (see below), whose sum is σ = 100326892543488. Its totient is φ = 65242967961600.

The previous prime is 82577508030257. The next prime is 82577508030319. The reversal of 82577508030305 is 50303080577528.

It is not a de Polignac number, because 82577508030305 - 2²⁶ = 82577440921441 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112402540 + ... + 1112476770.

It is an arithmetic number, because the mean of its divisors is an integer number (3135215391984).

Almost surely, 2^{82577508030305} is an apocalyptic number.

It is an amenable number.

82577508030305 is a deficient number, since it is larger than the sum of its proper divisors (17749384513183).

82577508030305 is a wasteful number, since it uses less digits than its factorization.

82577508030305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80177.

The product of its (nonzero) digits is 7056000, while the sum is 53.

The spelling of 82577508030305 in words is "eighty-two trillion, five hundred seventy-seven billion, five hundred eight million, thirty thousand, three hundred five".