506325 has 24 divisors (see below), whose sum is σ = 862048. Its totient is φ = 262080.

The previous prime is 506291. The next prime is 506327. The reversal of 506325 is 523605.

It is not a de Polignac number, because 506325 - 2¹⁰ = 505301 is a prime.

It is a Duffinian number.

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 506325.

It is not an unprimeable number, because it can be changed into a prime (506327) 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 23 ways as a sum of consecutive naturals, for example, 3147 + ... + 3303.

2⁵⁰⁶³²⁵ is an apocalyptic number.

It is an amenable number.

506325 is a deficient number, since it is larger than the sum of its proper divisors (355723).

506325 is a wasteful number, since it uses less digits than its factorization.

506325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 506325 is about 711.5651762137. The cubic root of 506325 is about 79.7033282668.

The spelling of 506325 in words is "five hundred six thousand, three hundred twenty-five".