82777461951 has 16 divisors (see below), whose sum is σ = 111179868800. Its totient is φ = 54780128928.

The previous prime is 82777461929. The next prime is 82777461959. The reversal of 82777461951 is 15916477728.

It is not a de Polignac number, because 82777461951 - 2⁶ = 82777461887 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82777461891 and 82777461900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82777461959) 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, 5211660 + ... + 5227518.

It is an arithmetic number, because the mean of its divisors is an integer number (6948741800).

Almost surely, 2^82777461951 is an apocalyptic number.

82777461951 is a deficient number, since it is larger than the sum of its proper divisors (28402406849).

82777461951 is a wasteful number, since it uses less digits than its factorization.

82777461951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28518.

The product of its digits is 5927040, while the sum is 57.

The spelling of 82777461951 in words is "eighty-two billion, seven hundred seventy-seven million, four hundred sixty-one thousand, nine hundred fifty-one".