509083785 has 144 divisors (see below), whose sum is σ = 1129355136. Its totient is φ = 218598912.

The previous prime is 509083781. The next prime is 509083789. The reversal of 509083785 is 587380905.

It is an interprime number because it is at equal distance from previous prime (509083781) and next prime (509083789).

It is not a de Polignac number, because 509083785 - 2² = 509083781 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 509083785.

It is not an unprimeable number, because it can be changed into a prime (509083781) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1011844 + ... + 1012346.

It is an arithmetic number, because the mean of its divisors is an integer number (7842744).

Almost surely, 2^509083785 is an apocalyptic number.

It is an amenable number.

509083785 is an abundant number, since it is smaller than the sum of its proper divisors (620271351).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509083785 is a wasteful number, since it uses less digits than its factorization.

509083785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 509083785 is about 22562.8851213669. The cubic root of 509083785 is about 798.4782451841.

The spelling of 509083785 in words is "five hundred nine million, eighty-three thousand, seven hundred eighty-five".