509777649 has 12 divisors (see below), whose sum is σ = 737420112. Its totient is φ = 339355800.

The previous prime is 509777627. The next prime is 509777677. The reversal of 509777649 is 946777905.

It is a happy number.

509777649 is a `hidden beast` number, since 509 + 7 + 77 + 64 + 9 = 666.

It is not a de Polignac number, because 509777649 - 2¹⁶ = 509712113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509777595 and 509777604.

It is not an unprimeable number, because it can be changed into a prime (509777699) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34767 + ... + 47204.

It is an arithmetic number, because the mean of its divisors is an integer number (61451676).

Almost surely, 2^509777649 is an apocalyptic number.

It is an amenable number.

509777649 is a deficient number, since it is larger than the sum of its proper divisors (227642463).

509777649 is a wasteful number, since it uses less digits than its factorization.

509777649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82668 (or 82665 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 509777649 is about 22578.2561106920. The cubic root of 509777649 is about 798.8408467868.

The spelling of 509777649 in words is "five hundred nine million, seven hundred seventy-seven thousand, six hundred forty-nine".