505684540809 has 64 divisors (see below), whose sum is σ = 894963732480. Its totient is φ = 275918607360.

The previous prime is 505684540793. The next prime is 505684540819. The reversal of 505684540809 is 908045486505.

505684540809 is a `hidden beast` number, since 50 + 5 + 68 + 454 + 0 + 80 + 9 = 666.

It is not a de Polignac number, because 505684540809 - 2⁴ = 505684540793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505684540819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2407414 + ... + 2609024.

It is an arithmetic number, because the mean of its divisors is an integer number (13983808320).

Almost surely, 2^505684540809 is an apocalyptic number.

It is an amenable number.

505684540809 is a deficient number, since it is larger than the sum of its proper divisors (389279191671).

505684540809 is a wasteful number, since it uses less digits than its factorization.

505684540809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202227 (or 202221 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 505684540809 in words is "five hundred five billion, six hundred eighty-four million, five hundred forty thousand, eight hundred nine".