509393385 has 12 divisors (see below), whose sum is σ = 882948612. Its totient is φ = 271676448.

The previous prime is 509393377. The next prime is 509393411. The reversal of 509393385 is 583393905.

509393385 is a `hidden beast` number, since 509 + 39 + 33 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 404371881 = 10248^2 + 20109^2 .

It is not a de Polignac number, because 509393385 - 2³ = 509393377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 11319853 = 509393385 / (5 + 0 + 9 + 3 + 9 + 3 + 3 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 509393385.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5659882 + ... + 5659971.

It is an arithmetic number, because the mean of its divisors is an integer number (73579051).

Almost surely, 2^509393385 is an apocalyptic number.

It is an amenable number.

509393385 is a deficient number, since it is larger than the sum of its proper divisors (373555227).

509393385 is a wasteful number, since it uses less digits than its factorization.

509393385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11319864 (or 11319861 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 509393385 is about 22569.7449032992. The cubic root of 509393385 is about 798.6400775946.

The spelling of 509393385 in words is "five hundred nine million, three hundred ninety-three thousand, three hundred eighty-five".