85185028417 has 8 divisors (see below), whose sum is σ = 88902291240. Its totient is φ = 81519755520.

The previous prime is 85185028387. The next prime is 85185028457. The reversal of 85185028417 is 71482058158.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3342689856 + 81842338561 = 57816^2 + 286081^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85185028417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85185028457) 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, 12994134 + ... + 13000687.

It is an arithmetic number, because the mean of its divisors is an integer number (11112786405).

Almost surely, 2^85185028417 is an apocalyptic number.

It is an amenable number.

85185028417 is a deficient number, since it is larger than the sum of its proper divisors (3717262823).

85185028417 is a wasteful number, since it uses less digits than its factorization.

85185028417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25994963.

The product of its (nonzero) digits is 716800, while the sum is 49.

The spelling of 85185028417 in words is "eighty-five billion, one hundred eighty-five million, twenty-eight thousand, four hundred seventeen".