85460777617 has 2 divisors, whose sum is σ = 85460777618. Its totient is φ = 85460777616.

The previous prime is 85460777603. The next prime is 85460777621. The reversal of 85460777617 is 71677706458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85296707136 + 164070481 = 292056^2 + 12809^2 .

It is a cyclic number.

It is not a de Polignac number, because 85460777617 - 2⁷ = 85460777489 is a prime.

It is not a weakly prime, because it can be changed into another prime (85460777117) 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 as a sum of consecutive naturals, namely, 42730388808 + 42730388809.

It is an arithmetic number, because the mean of its divisors is an integer number (42730388809).

Almost surely, 2^85460777617 is an apocalyptic number.

It is an amenable number.

85460777617 is a deficient number, since it is larger than the sum of its proper divisors (1).

85460777617 is an equidigital number, since it uses as much as digits as its factorization.

85460777617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13829760, while the sum is 58.

The spelling of 85460777617 in words is "eighty-five billion, four hundred sixty million, seven hundred seventy-seven thousand, six hundred seventeen".