531825 has 24 divisors (see below), whose sum is σ = 1005888. Its totient is φ = 242880.

The previous prime is 531823. The next prime is 531827. The reversal of 531825 is 528135.

It is an interprime number because it is at equal distance from previous prime (531823) and next prime (531827).

It is not a de Polignac number, because 531825 - 2¹ = 531823 is a prime.

531825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 531795 and 531804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531825.

It is not an unprimeable number, because it can be changed into a prime (531821) 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, 19 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (41912).

2⁵³¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

531825 is a deficient number, since it is larger than the sum of its proper divisors (474063).

531825 is a wasteful number, since it uses less digits than its factorization.

531825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1028 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 531825 is about 729.2633269266. The cubic root of 531825 is about 81.0195045242.

The spelling of 531825 in words is "five hundred thirty-one thousand, eight hundred twenty-five".