508353 has 8 divisors (see below), whose sum is σ = 681600. Its totient is φ = 337008.

The previous prime is 508349. The next prime is 508363. The reversal of 508353 is 353805.

508353 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 508353 - 2² = 508349 is a prime.

508353 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (508363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (85200).

2⁵⁰⁸³⁵³ is an apocalyptic number.

It is an amenable number.

508353 is a deficient number, since it is larger than the sum of its proper divisors (173247).

508353 is a wasteful number, since it uses less digits than its factorization.

508353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 508353 is about 712.9887797154. The cubic root of 508353 is about 79.8095992874.

It can be divided in two parts, 508 and 353, that added together give a triangular number (861 = T₄₁).

The spelling of 508353 in words is "five hundred eight thousand, three hundred fifty-three".