505825 has 6 divisors (see below), whose sum is σ = 627254. Its totient is φ = 404640.

The previous prime is 505823. The next prime is 505867. The reversal of 505825 is 528505.

It can be written as a sum of positive squares in 3 ways, for example, as 33856 + 471969 = 184^2 + 687^2 .

It is not a de Polignac number, because 505825 - 2¹ = 505823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 20233 = 505825 / (5 + 0 + 5 + 8 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10092 + ... + 10141.

2⁵⁰⁵⁸²⁵ is an apocalyptic number.

It is an amenable number.

505825 is a deficient number, since it is larger than the sum of its proper divisors (121429).

505825 is a wasteful number, since it uses less digits than its factorization.

505825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20243 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 505825 is about 711.2137512731. The cubic root of 505825 is about 79.6770837340.

The spelling of 505825 in words is "five hundred five thousand, eight hundred twenty-five".