205533540 has 36 divisors (see below), whose sum is σ = 623452284. Its totient is φ = 54808896.

The previous prime is 205533539. The next prime is 205533563. The reversal of 205533540 is 45335502.

It can be written as a sum of positive squares in 2 ways, for example, as 155151936 + 50381604 = 12456^2 + 7098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570747 + ... + 571106.

It is an arithmetic number, because the mean of its divisors is an integer number (17318119).

Almost surely, 2^205533540 is an apocalyptic number.

205533540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205533540 is an abundant number, since it is smaller than the sum of its proper divisors (417918744).

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

205533540 is a wasteful number, since it uses less digits than its factorization.

205533540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141868 (or 1141863 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 205533540 is about 14336.4409809408. The cubic root of 205533540 is about 590.1479471937.

The spelling of 205533540 in words is "two hundred five million, five hundred thirty-three thousand, five hundred forty".