85681522518657 has 64 divisors (see below), whose sum is σ = 135371571148800. Its totient is φ = 47702359756800.

The previous prime is 85681522518619. The next prime is 85681522518659. The reversal of 85681522518657 is 75681522518658.

It is not a de Polignac number, because 85681522518657 - 2⁶ = 85681522518593 is a prime.

It is a super-2 number, since 2×85681522518657² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85681522518591 and 85681522518600.

It is not an unprimeable number, because it can be changed into a prime (85681522518659) 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 in 63 ways as a sum of consecutive naturals, for example, 10926894 + ... + 17051687.

It is an arithmetic number, because the mean of its divisors is an integer number (2115180799200).

Almost surely, 2^{85681522518657} is an apocalyptic number.

It is an amenable number.

85681522518657 is a deficient number, since it is larger than the sum of its proper divisors (49690048630143).

85681522518657 is a wasteful number, since it uses less digits than its factorization.

85681522518657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27978794.

The product of its digits is 322560000, while the sum is 69.

Subtracting from 85681522518657 its reverse (75681522518658), we obtain a palindrome (9999999999999).

The spelling of 85681522518657 in words is "eighty-five trillion, six hundred eighty-one billion, five hundred twenty-two million, five hundred eighteen thousand, six hundred fifty-seven".