505105838685 has 64 divisors (see below), whose sum is σ = 1043070620160. Its totient is φ = 227120163840.

The previous prime is 505105838681. The next prime is 505105838687. The reversal of 505105838685 is 586838501505.

It is a happy number.

505105838685 is a `hidden beast` number, since 5 + 0 + 51 + 0 + 583 + 8 + 6 + 8 + 5 = 666.

It is not a de Polignac number, because 505105838685 - 2² = 505105838681 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505105838681) 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, 4323532 + ... + 4438821.

It is an arithmetic number, because the mean of its divisors is an integer number (16297978440).

Almost surely, 2^505105838685 is an apocalyptic number.

It is an amenable number.

505105838685 is an abundant number, since it is smaller than the sum of its proper divisors (537964781475).

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

505105838685 is a wasteful number, since it uses less digits than its factorization.

505105838685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8762435 (or 8762429 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 505105838685 in words is "five hundred five billion, one hundred five million, eight hundred thirty-eight thousand, six hundred eighty-five".