82777463617 has 2 divisors, whose sum is σ = 82777463618. Its totient is φ = 82777463616.

The previous prime is 82777463579. The next prime is 82777463641. The reversal of 82777463617 is 71636477728.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82616579761 + 160883856 = 287431^2 + 12684^2 .

It is a cyclic number.

It is not a de Polignac number, because 82777463617 - 2¹⁵ = 82777430849 is a prime.

It is not a weakly prime, because it can be changed into another prime (82777464617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41388731808 + 41388731809.

It is an arithmetic number, because the mean of its divisors is an integer number (41388731809).

Almost surely, 2^82777463617 is an apocalyptic number.

It is an amenable number.

82777463617 is a deficient number, since it is larger than the sum of its proper divisors (1).

82777463617 is an equidigital number, since it uses as much as digits as its factorization.

82777463617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16595712, while the sum is 58.

The spelling of 82777463617 in words is "eighty-two billion, seven hundred seventy-seven million, four hundred sixty-three thousand, six hundred seventeen".