508563 has 18 divisors (see below), whose sum is σ = 809172. Its totient is φ = 307560.

The previous prime is 508559. The next prime is 508567. The reversal of 508563 is 365805.

It is an interprime number because it is at equal distance from previous prime (508559) and next prime (508567).

It is not a de Polignac number, because 508563 - 2² = 508559 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (508567) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 856 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (44954).

2⁵⁰⁸⁵⁶³ is an apocalyptic number.

508563 is a deficient number, since it is larger than the sum of its proper divisors (300609).

508563 is a wasteful number, since it uses less digits than its factorization.

With its successor (508564) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (495).

508563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 508563 is about 713.1360319042. The cubic root of 508563 is about 79.8205875237.

Subtracting from 508563 its sum of digits (27), we obtain a triangular number (508536 = T₁₀₀₈).

The spelling of 508563 in words is "five hundred eight thousand, five hundred sixty-three".