585525 has 24 divisors (see below), whose sum is σ = 998944. Its totient is φ = 302400.

The previous prime is 585517. The next prime is 585547. The reversal of 585525 is 525585.

It is not a de Polignac number, because 585525 - 2³ = 585517 is a prime.

It is a super-3 number, since 3×585525³ = 602223339724734375, which contains 333 as substring.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 585492 and 585501.

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 585525.

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2670 + ... + 2880.

2⁵⁸⁵⁵²⁵ is an apocalyptic number.

It is an amenable number.

585525 is a deficient number, since it is larger than the sum of its proper divisors (413419).

585525 is a wasteful number, since it uses less digits than its factorization.

585525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its digits is 10000, while the sum is 30.

The square root of 585525 is about 765.1960533092. The cubic root of 585525 is about 83.6594774505.

The spelling of 585525 in words is "five hundred eighty-five thousand, five hundred twenty-five".