205053264 has 60 divisors (see below), whose sum is σ = 618013396. Its totient is φ = 63092736.

The previous prime is 205053227. The next prime is 205053293. The reversal of 205053264 is 462350502.

205053264 is a `hidden beast` number, since 20 + 50 + 532 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120560400 + 84492864 = 10980^2 + 9192^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52897 + ... + 56640.

Almost surely, 2^205053264 is an apocalyptic number.

205053264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205053264 is an abundant number, since it is smaller than the sum of its proper divisors (412960132).

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

205053264 is a wasteful number, since it uses less digits than its factorization.

205053264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109564 (or 109555 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 205053264 is about 14319.6810020335. The cubic root of 205053264 is about 589.6879169202.

The spelling of 205053264 in words is "two hundred five million, fifty-three thousand, two hundred sixty-four".