508959 has 24 divisors (see below), whose sum is σ = 825552. Its totient is φ = 299520.

The previous prime is 508957. The next prime is 508961. The reversal of 508959 is 959805.

It is an interprime number because it is at equal distance from previous prime (508957) and next prime (508961).

It is not a de Polignac number, because 508959 - 2¹ = 508957 is a prime.

508959 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 508959.

It is not an unprimeable number, because it can be changed into a prime (508951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5199 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁵⁰⁸⁹⁵⁹ is an apocalyptic number.

508959 is a deficient number, since it is larger than the sum of its proper divisors (316593).

508959 is a wasteful number, since it uses less digits than its factorization.

508959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 164 counting only the distinct ones).

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

The square root of 508959 is about 713.4136247648. The cubic root of 508959 is about 79.8412999703.

It can be divided in two parts, 50 and 8959, that added together give a palindrome (9009).

The spelling of 508959 in words is "five hundred eight thousand, nine hundred fifty-nine".