505533 has 24 divisors (see below), whose sum is σ = 829920. Its totient is φ = 272160.

The previous prime is 505523. The next prime is 505537. The reversal of 505533 is 335505.

It is not a de Polignac number, because 505533 - 2⁵ = 505501 is a prime.

It is a super-2 number, since 2×505533² = 511127228178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505537) 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, 2703 + ... + 2883.

It is an arithmetic number, because the mean of its divisors is an integer number (34580).

2⁵⁰⁵⁵³³ is an apocalyptic number.

It is an amenable number.

505533 is a deficient number, since it is larger than the sum of its proper divisors (324387).

505533 is a wasteful number, since it uses less digits than its factorization.

505533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 21.

The square root of 505533 is about 711.0084387685. The cubic root of 505533 is about 79.6617489266.

The spelling of 505533 in words is "five hundred five thousand, five hundred thirty-three".