509728765 has 32 divisors (see below), whose sum is σ = 797126400. Its totient is φ = 303657984.

The previous prime is 509728759. The next prime is 509728801. The reversal of 509728765 is 567827905.

It is not a de Polignac number, because 509728765 - 2⁵ = 509728733 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25215 + ... + 40684.

It is an arithmetic number, because the mean of its divisors is an integer number (24910200).

Almost surely, 2^509728765 is an apocalyptic number.

It is an amenable number.

509728765 is a deficient number, since it is larger than the sum of its proper divisors (287397635).

509728765 is a wasteful number, since it uses less digits than its factorization.

509728765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65941.

The product of its (nonzero) digits is 1058400, while the sum is 49.

The square root of 509728765 is about 22577.1735387758. The cubic root of 509728765 is about 798.8153116119.

The spelling of 509728765 in words is "five hundred nine million, seven hundred twenty-eight thousand, seven hundred sixty-five".