508113 has 28 divisors (see below), whose sum is σ = 826308. Its totient is φ = 311040.

The previous prime is 508103. The next prime is 508129. The reversal of 508113 is 311805.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 321489 = 432^2 + 567^2 .

It is not a de Polignac number, because 508113 - 2⁴ = 508097 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (508103) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12373 + ... + 12413.

It is an arithmetic number, because the mean of its divisors is an integer number (29511).

2⁵⁰⁸¹¹³ is an apocalyptic number.

It is an amenable number.

508113 is a deficient number, since it is larger than the sum of its proper divisors (318195).

508113 is an equidigital number, since it uses as much as digits as its factorization.

508113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 508113 is about 712.8204542520. The cubic root of 508113 is about 79.7970375971.

Adding to 508113 its reverse (311805), we get a palindrome (819918).

The spelling of 508113 in words is "five hundred eight thousand, one hundred thirteen".