508963 has 24 divisors (see below), whose sum is σ = 689472. Its totient is φ = 370944.

The previous prime is 508961. The next prime is 508969. The reversal of 508963 is 369805.

It is not a de Polignac number, because 508963 - 2¹ = 508961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (508961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10806 + ... + 10852.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁵⁰⁸⁹⁶³ is an apocalyptic number.

508963 is a deficient number, since it is larger than the sum of its proper divisors (180509).

508963 is a wasteful number, since it uses less digits than its factorization.

508963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 508963 is about 713.4164281820. The cubic root of 508963 is about 79.8415091321.

The spelling of 508963 in words is "five hundred eight thousand, nine hundred sixty-three".