82577755080351 has 12 divisors (see below), whose sum is σ = 120068906579440. Its totient is φ = 54687255019200.

The previous prime is 82577755080241. The next prime is 82577755080383. The reversal of 82577755080351 is 15308055777528.

82577755080351 is a `hidden beast` number, since 8 + 2 + 5 + 7 + 7 + 75 + 508 + 0 + 3 + 51 = 666.

It is not a de Polignac number, because 82577755080351 - 2¹⁷ = 82577754949279 is a prime.

It is a super-2 number, since 2×82577755080351² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82577755580351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30381806986 + ... + 30381809703.

Almost surely, 2^{82577755080351} is an apocalyptic number.

82577755080351 is a deficient number, since it is larger than the sum of its proper divisors (37491151499089).

82577755080351 is a wasteful number, since it uses less digits than its factorization.

82577755080351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60763616846 (or 60763616843 counting only the distinct ones).

The product of its (nonzero) digits is 82320000, while the sum is 63.

The spelling of 82577755080351 in words is "eighty-two trillion, five hundred seventy-seven billion, seven hundred fifty-five million, eighty thousand, three hundred fifty-one".