205362142561 has 81 divisors (see below), whose sum is σ = 244694847033. Its totient is φ = 172276727040.

The previous prime is 205362142547. The next prime is 205362142621. The reversal of 205362142561 is 165241263502.

The square root of 205362142561 is 453169.

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

205362142561 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 18948899025 + 186413243536 = 137655^2 + 431756^2 .

It is not a de Polignac number, because 205362142561 - 2⁹ = 205362142049 is a prime.

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 205362142561.

It is not an unprimeable number, because it can be changed into a prime (205362142061) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 3366592471 + ... + 3366592531.

Almost surely, 2^205362142561 is an apocalyptic number.

205362142561 is the 453169-th square number.

205362142561 is the 226585-th centered octagonal number.

It is an amenable number.

205362142561 is a deficient number, since it is larger than the sum of its proper divisors (39332704472).

205362142561 is an equidigital number, since it uses as much as digits as its factorization.

205362142561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 205362142561 in words is "two hundred five billion, three hundred sixty-two million, one hundred forty-two thousand, five hundred sixty-one".