85131845601 has 16 divisors (see below), whose sum is σ = 123977910528. Its totient is φ = 51532653200.

The previous prime is 85131845573. The next prime is 85131845671. The reversal of 85131845601 is 10654813158.

It is a cyclic number.

It is not a de Polignac number, because 85131845601 - 2⁶ = 85131845537 is a prime.

It is a super-2 number, since 2×85131845601² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (85131845671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1532415 + ... + 1586996.

It is an arithmetic number, because the mean of its divisors is an integer number (7748619408).

Almost surely, 2^85131845601 is an apocalyptic number.

It is an amenable number.

85131845601 is a deficient number, since it is larger than the sum of its proper divisors (38846064927).

85131845601 is a wasteful number, since it uses less digits than its factorization.

85131845601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120252.

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 85131845601 in words is "eighty-five billion, one hundred thirty-one million, eight hundred forty-five thousand, six hundred one".