205681297441 has 27 divisors (see below), whose sum is σ = 215707847859. Its totient is φ = 196116993072.

The previous prime is 205681297429. The next prime is 205681297463. The reversal of 205681297441 is 144792186502.

The square root of 205681297441 is 453521.

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

205681297441 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 only one way, i.e., 148275054225 + 57406243216 = 385065^2 + 239596^2 .

It is not a de Polignac number, because 205681297441 - 2⁷ = 205681297313 is a prime.

It is a super-2 number, since 2×205681297441² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205681297421) 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 26 ways as a sum of consecutive naturals, for example, 1033574260 + ... + 1033574458.

Almost surely, 2^205681297441 is an apocalyptic number.

205681297441 is the 453521-st square number.

205681297441 is the 226761-st centered octagonal number.

It is an amenable number.

205681297441 is a deficient number, since it is larger than the sum of its proper divisors (10026550418).

205681297441 is an frugal number, since it uses more digits than its factorization.

205681297441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 205681297441 by its sum of digits (49), we get a square (10078383574609 = 3174647²).

The spelling of 205681297441 in words is "two hundred five billion, six hundred eighty-one million, two hundred ninety-seven thousand, four hundred forty-one".