205009536 has 32 divisors (see below), whose sum is σ = 544557600. Its totient is φ = 68336384.

The previous prime is 205009531. The next prime is 205009537. The reversal of 205009536 is 635900502.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (205009531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266556 + ... + 267323.

It is an arithmetic number, because the mean of its divisors is an integer number (17017425).

Almost surely, 2^205009536 is an apocalyptic number.

It is an amenable number.

205009536 is an abundant number, since it is smaller than the sum of its proper divisors (339548064).

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

205009536 is an equidigital number, since it uses as much as digits as its factorization.

205009536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533896 (or 533884 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 205009536 is about 14318.1540709688. The cubic root of 205009536 is about 589.6459965822.

The spelling of 205009536 in words is "two hundred five million, nine thousand, five hundred thirty-six".