85456000657 has 2 divisors, whose sum is σ = 85456000658. Its totient is φ = 85456000656.

The previous prime is 85456000573. The next prime is 85456000667. The reversal of 85456000657 is 75600065458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76263793281 + 9192207376 = 276159^2 + 95876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85456000657 is a prime.

It is not a weakly prime, because it can be changed into another prime (85456000667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42728000328 + 42728000329.

It is an arithmetic number, because the mean of its divisors is an integer number (42728000329).

Almost surely, 2^85456000657 is an apocalyptic number.

It is an amenable number.

85456000657 is a deficient number, since it is larger than the sum of its proper divisors (1).

85456000657 is an equidigital number, since it uses as much as digits as its factorization.

85456000657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 85456000657 in words is "eighty-five billion, four hundred fifty-six million, six hundred fifty-seven", and thus it is an aban number.