509925 has 24 divisors (see below), whose sum is σ = 909664. Its totient is φ = 250560.

The previous prime is 509921. The next prime is 509939. The reversal of 509925 is 529905.

It is not a de Polignac number, because 509925 - 2² = 509921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 509892 and 509901.

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 509925.

It is not an unprimeable number, because it can be changed into a prime (509921) 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, 714 + ... + 1236.

2⁵⁰⁹⁹²⁵ is an apocalyptic number.

It is an amenable number.

509925 is a deficient number, since it is larger than the sum of its proper divisors (399739).

509925 is a wasteful number, since it uses less digits than its factorization.

509925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 509925 is about 714.0903304205. The cubic root of 509925 is about 79.8917807568.

The spelling of 509925 in words is "five hundred nine thousand, nine hundred twenty-five".