85517061377857 has 2 divisors, whose sum is σ = 85517061377858. Its totient is φ = 85517061377856.

The previous prime is 85517061377849. The next prime is 85517061377897. The reversal of 85517061377857 is 75877316071558.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82564863883441 + 2952197494416 = 9086521^2 + 1718196^2 .

It is a cyclic number.

It is not a de Polignac number, because 85517061377857 - 2³ = 85517061377849 is a prime.

It is a super-2 number, since 2×85517061377857² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85517061377897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42758530688928 + 42758530688929.

It is an arithmetic number, because the mean of its divisors is an integer number (42758530688929).

Almost surely, 2^{85517061377857} is an apocalyptic number.

It is an amenable number.

85517061377857 is a deficient number, since it is larger than the sum of its proper divisors (1).

85517061377857 is an equidigital number, since it uses as much as digits as its factorization.

85517061377857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 345744000, while the sum is 70.

The spelling of 85517061377857 in words is "eighty-five trillion, five hundred seventeen billion, sixty-one million, three hundred seventy-seven thousand, eight hundred fifty-seven".