506825 has 24 divisors (see below), whose sum is σ = 729120. Its totient is φ = 345600.

The previous prime is 506809. The next prime is 506837. The reversal of 506825 is 528605.

It is not a de Polignac number, because 506825 - 2⁴ = 506809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506794 and 506803.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506825.

It is an unprimeable number.

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, 5177 + ... + 5273.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2⁵⁰⁶⁸²⁵ is an apocalyptic number.

506825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506825 is a deficient number, since it is larger than the sum of its proper divisors (222295).

506825 is a wasteful number, since it uses less digits than its factorization.

506825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 506825 is about 711.9164276795. The cubic root of 506825 is about 79.7295555276.

It can be divided in two parts, 506 and 825, that added together give a palindrome (1331).

The spelling of 506825 in words is "five hundred six thousand, eight hundred twenty-five".