506575 has 12 divisors (see below), whose sum is σ = 656208. Its totient is φ = 387200.

The previous prime is 506573. The next prime is 506591. The reversal of 506575 is 575605.

It is not a de Polignac number, because 506575 - 2¹ = 506573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506573) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2⁵⁰⁶⁵⁷⁵ is an apocalyptic number.

506575 is a deficient number, since it is larger than the sum of its proper divisors (149633).

506575 is a wasteful number, since it uses less digits than its factorization.

506575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 506575 is about 711.7408236149. The cubic root of 506575 is about 79.7164440544.

It can be divided in two parts, 506 and 575, that added together give a triangular number (1081 = T₄₆).

The spelling of 506575 in words is "five hundred six thousand, five hundred seventy-five".