205152831844 has 27 divisors (see below), whose sum is σ = 366004834923. Its totient is φ = 100617459072.

The previous prime is 205152831833. The next prime is 205152831869. The reversal of 205152831844 is 448138251502.

The square root of 205152831844 is 452938.

It is a perfect power (a square), and thus also a powerful number.

205152831844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16305444 + 205136526400 = 4038^2 + 452920^2 .

It is a super-2 number, since 2×205152831844² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205152831844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48009292 + ... + 48013564.

Almost surely, 2^205152831844 is an apocalyptic number.

205152831844 is the 452938-th square number.

It is an amenable number.

205152831844 is a deficient number, since it is larger than the sum of its proper divisors (160852003079).

205152831844 is an frugal number, since it uses more digits than its factorization.

205152831844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 205152831844 in words is "two hundred five billion, one hundred fifty-two million, eight hundred thirty-one thousand, eight hundred forty-four".