509859 has 12 divisors (see below), whose sum is σ = 841776. Its totient is φ = 291312.

The previous prime is 509843. The next prime is 509863. The reversal of 509859 is 958905.

It is not a de Polignac number, because 509859 - 2⁴ = 509843 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3984 + ... + 4109.

It is an arithmetic number, because the mean of its divisors is an integer number (70148).

2⁵⁰⁹⁸⁵⁹ is an apocalyptic number.

509859 is a deficient number, since it is larger than the sum of its proper divisors (331917).

509859 is a wasteful number, since it uses less digits than its factorization.

509859 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8106 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 509859 is about 714.0441162841. The cubic root of 509859 is about 79.8883337891. Note that the first 3 decimals are identical.

The spelling of 509859 in words is "five hundred nine thousand, eight hundred fifty-nine".