509625 has 32 divisors (see below), whose sum is σ = 948480. Its totient is φ = 270000.

The previous prime is 509623. The next prime is 509633. The reversal of 509625 is 526905.

It is not a de Polignac number, because 509625 - 2¹ = 509623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509625.

It is not an unprimeable number, because it can be changed into a prime (509623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3300 + ... + 3450.

It is an arithmetic number, because the mean of its divisors is an integer number (29640).

2⁵⁰⁹⁶²⁵ is an apocalyptic number.

It is an amenable number.

509625 is a deficient number, since it is larger than the sum of its proper divisors (438855).

509625 is a wasteful number, since it uses less digits than its factorization.

509625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 509625 is about 713.8802420574. The cubic root of 509625 is about 79.8761103242.

The spelling of 509625 in words is "five hundred nine thousand, six hundred twenty-five".