205385000821 has 48 divisors (see below), whose sum is σ = 283006882368. Its totient is φ = 147728861280.

The previous prime is 205385000813. The next prime is 205385000851. The reversal of 205385000821 is 128000583502.

It is not a de Polignac number, because 205385000821 - 2³ = 205385000813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205385000801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726726 + ... + 968968.

It is an arithmetic number, because the mean of its divisors is an integer number (5895976716).

Almost surely, 2^205385000821 is an apocalyptic number.

It is an amenable number.

205385000821 is a deficient number, since it is larger than the sum of its proper divisors (77621881547).

205385000821 is a wasteful number, since it uses less digits than its factorization.

205385000821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242303 (or 242274 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 205385000821 in words is "two hundred five billion, three hundred eighty-five million, eight hundred twenty-one", and thus it is an aban number.