506583 has 48 divisors (see below), whose sum is σ = 988416. Its totient is φ = 241920.

The previous prime is 506573. The next prime is 506591. The reversal of 506583 is 385605.

506583 is a `hidden beast` number, since 5 + 0 + 658 + 3 = 666.

It is not a de Polignac number, because 506583 - 2⁵ = 506551 is a prime.

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

It is an Ulam 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 506583.

It is not an unprimeable number, because it can be changed into a prime (506533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11760 + ... + 11802.

It is an arithmetic number, because the mean of its divisors is an integer number (20592).

2⁵⁰⁶⁵⁸³ is an apocalyptic number.

506583 is a deficient number, since it is larger than the sum of its proper divisors (481833).

506583 is a wasteful number, since it uses less digits than its factorization.

506583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 81 counting only the distinct ones).

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

The square root of 506583 is about 711.7464436160. The cubic root of 506583 is about 79.7168636884.

It can be divided in two parts, 506 and 583, that added together give a square (1089 = 33²).

The spelling of 506583 in words is "five hundred six thousand, five hundred eighty-three".