85188513 has 32 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 51932160.

The previous prime is 85188511. The next prime is 85188539. The reversal of 85188513 is 31588158.

It is not a de Polignac number, because 85188513 - 2¹ = 85188511 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85188511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432331 + ... + 432527.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^85188513 is an apocalyptic number.

It is an amenable number.

85188513 is a deficient number, since it is larger than the sum of its proper divisors (38553567).

85188513 is a wasteful number, since it uses less digits than its factorization.

With its successor (85188514) it forms an eRAP, since the sums of their prime factors are consecutive (417 and 418).

85188513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417.

The product of its digits is 38400, while the sum is 39.

The square root of 85188513 is about 9229.7623479697. The cubic root of 85188513 is about 440.0077701796.

The spelling of 85188513 in words is "eighty-five million, one hundred eighty-eight thousand, five hundred thirteen".