85621457617 has 2 divisors, whose sum is σ = 85621457618. Its totient is φ = 85621457616.

The previous prime is 85621457563. The next prime is 85621457659. The reversal of 85621457617 is 71675412658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42861834961 + 42759622656 = 207031^2 + 206784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85621457617 is a prime.

It is not a weakly prime, because it can be changed into another prime (85621455617) 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, 42810728808 + 42810728809.

It is an arithmetic number, because the mean of its divisors is an integer number (42810728809).

Almost surely, 2^85621457617 is an apocalyptic number.

It is an amenable number.

85621457617 is a deficient number, since it is larger than the sum of its proper divisors (1).

85621457617 is an equidigital number, since it uses as much as digits as its factorization.

85621457617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2822400, while the sum is 52.

The spelling of 85621457617 in words is "eighty-five billion, six hundred twenty-one million, four hundred fifty-seven thousand, six hundred seventeen".