82013055977 has 6 divisors (see below), whose sum is σ = 84938611758. Its totient is φ = 79185018752.

The previous prime is 82013055967. The next prime is 82013055983. The reversal of 82013055977 is 77955031028.

It can be written as a sum of positive squares in 3 ways, for example, as 31070760361 + 50942295616 = 176269^2 + 225704^2 .

It is not a de Polignac number, because 82013055977 - 2⁴ = 82013055961 is a prime.

It is a super-2 number, since 2×82013055977² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82013055907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48758408 + ... + 48760089.

It is an arithmetic number, because the mean of its divisors is an integer number (14156435293).

Almost surely, 2^82013055977 is an apocalyptic number.

It is an amenable number.

82013055977 is a deficient number, since it is larger than the sum of its proper divisors (2925555781).

82013055977 is an equidigital number, since it uses as much as digits as its factorization.

82013055977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97518555 (or 97518526 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 47.

The spelling of 82013055977 in words is "eighty-two billion, thirteen million, fifty-five thousand, nine hundred seventy-seven".