509425 has 24 divisors (see below), whose sum is σ = 749952. Its totient is φ = 336000.

The previous prime is 509417. The next prime is 509429. The reversal of 509425 is 524905.

It is not a de Polignac number, because 509425 - 2³ = 509417 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

509425 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 509425.

It is not an unprimeable number, because it can be changed into a prime (509429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7140 + ... + 7210.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁵⁰⁹⁴²⁵ is an apocalyptic number.

It is an amenable number.

509425 is a deficient number, since it is larger than the sum of its proper divisors (240527).

509425 is a wasteful number, since it uses less digits than its factorization.

509425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 509425 is about 713.7401487937. The cubic root of 509425 is about 79.8656599523.

Adding to 509425 its product of nonzero digits (1800), we get a square (511225 = 715²).

The spelling of 509425 in words is "five hundred nine thousand, four hundred twenty-five".