509204385 has 24 divisors (see below), whose sum is σ = 883282920. Its totient is φ = 271372032.

The previous prime is 509204369. The next prime is 509204413. The reversal of 509204385 is 583402905.

It can be written as a sum of positive squares in 4 ways, for example, as 31169889 + 478034496 = 5583^2 + 21864^2 .

It is not a de Polignac number, because 509204385 - 2⁴ = 509204369 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71151 + ... + 77979.

It is an arithmetic number, because the mean of its divisors is an integer number (36803455).

Almost surely, 2^509204385 is an apocalyptic number.

It is an amenable number.

509204385 is a deficient number, since it is larger than the sum of its proper divisors (374078535).

509204385 is a wasteful number, since it uses less digits than its factorization.

509204385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8497 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 509204385 is about 22565.5574936672. The cubic root of 509204385 is about 798.5412923524.

The spelling of 509204385 in words is "five hundred nine million, two hundred four thousand, three hundred eighty-five".