205513920 has 84 divisors (see below), whose sum is σ = 706892160. Its totient is φ = 54802944.

The previous prime is 205513897. The next prime is 205513921. The reversal of 205513920 is 29315502.

205513920 is a `hidden beast` number, since 20 + 551 + 3 + 92 + 0 = 666.

205513920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205513921) 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, 32800 + ... + 38559.

Almost surely, 2^205513920 is an apocalyptic number.

205513920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205513920 is an abundant number, since it is smaller than the sum of its proper divisors (501378240).

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

205513920 is a wasteful number, since it uses less digits than its factorization.

205513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71382 (or 71369 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 205513920 is about 14335.7566943639. The cubic root of 205513920 is about 590.1291683102.

The spelling of 205513920 in words is "two hundred five million, five hundred thirteen thousand, nine hundred twenty".