86518509 has 48 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 44272800.

The previous prime is 86518501. The next prime is 86518529. The reversal of 86518509 is 90581568.

It is not a de Polignac number, because 86518509 - 2³ = 86518501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86518501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200524 + ... + 200954.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 2^86518509 is an apocalyptic number.

It is an amenable number.

86518509 is a deficient number, since it is larger than the sum of its proper divisors (60568851).

86518509 is a wasteful number, since it uses less digits than its factorization.

86518509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 86518509 is about 9301.5326156500. The cubic root of 86518509 is about 442.2858129048.

The spelling of 86518509 in words is "eighty-six million, five hundred eighteen thousand, five hundred nine".