505206985213 has 72 divisors (see below), whose sum is σ = 642556341504. Its totient is φ = 395584560000.

The previous prime is 505206985193. The next prime is 505206985237. The reversal of 505206985213 is 312589602505.

It is not a de Polignac number, because 505206985213 - 2⁵ = 505206985181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505206985253) 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 71 ways as a sum of consecutive naturals, for example, 168344713 + ... + 168347713.

It is an arithmetic number, because the mean of its divisors is an integer number (8924393632).

Almost surely, 2^505206985213 is an apocalyptic number.

It is an amenable number.

505206985213 is a deficient number, since it is larger than the sum of its proper divisors (137349356291).

505206985213 is a wasteful number, since it uses less digits than its factorization.

505206985213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 505206985213 in words is "five hundred five billion, two hundred six million, nine hundred eighty-five thousand, two hundred thirteen".