85100005617 has 8 divisors (see below), whose sum is σ = 123781826400. Its totient is φ = 51575760960.

The previous prime is 85100005603. The next prime is 85100005651. The reversal of 85100005617 is 71650000158.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85100005617 - 2²⁷ = 84965787889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2578788049 = 85100005617 / (8 + 5 + 1 + 0 + 0 + 0 + 0 + 5 + 6 + 1 + 7).

It is not an unprimeable number, because it can be changed into a prime (85100005667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1289393992 + ... + 1289394057.

It is an arithmetic number, because the mean of its divisors is an integer number (15472728300).

Almost surely, 2^85100005617 is an apocalyptic number.

It is an amenable number.

85100005617 is a deficient number, since it is larger than the sum of its proper divisors (38681820783).

85100005617 is a wasteful number, since it uses less digits than its factorization.

85100005617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578788063.

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 85100005617 in words is "eighty-five billion, one hundred million, five thousand, six hundred seventeen".