509967425 has 24 divisors (see below), whose sum is σ = 691027200. Its totient is φ = 370251200.

The previous prime is 509967383. The next prime is 509967439. The reversal of 509967425 is 524769905.

It is not a de Polignac number, because 509967425 - 2⁶ = 509967361 is a prime.

It is a super-2 number, since 2×509967425² = 520133549122261250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 509967425.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211376 + ... + 213774.

It is an arithmetic number, because the mean of its divisors is an integer number (28792800).

Almost surely, 2^509967425 is an apocalyptic number.

509967425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

509967425 is a deficient number, since it is larger than the sum of its proper divisors (181059775).

509967425 is a wasteful number, since it uses less digits than its factorization.

509967425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The square root of 509967425 is about 22582.4583471331. The cubic root of 509967425 is about 798.9399632104.

The spelling of 509967425 in words is "five hundred nine million, nine hundred sixty-seven thousand, four hundred twenty-five".