82777552729 has 2 divisors, whose sum is σ = 82777552730. Its totient is φ = 82777552728.

The previous prime is 82777552691. The next prime is 82777552829. The reversal of 82777552729 is 92725577728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60050482704 + 22727070025 = 245052^2 + 150755^2 .

It is a cyclic number.

It is not a de Polignac number, because 82777552729 - 2¹⁹ = 82777028441 is a prime.

It is not a weakly prime, because it can be changed into another prime (82777552229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41388776364 + 41388776365.

It is an arithmetic number, because the mean of its divisors is an integer number (41388776365).

Almost surely, 2^82777552729 is an apocalyptic number.

It is an amenable number.

82777552729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82777552729 is an equidigital number, since it uses as much as digits as its factorization.

82777552729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34574400, while the sum is 61.

The spelling of 82777552729 in words is "eighty-two billion, seven hundred seventy-seven million, five hundred fifty-two thousand, seven hundred twenty-nine".