205725588481 has 16 divisors (see below), whose sum is σ = 240107079168. Its totient is φ = 172607572800.

The previous prime is 205725588463. The next prime is 205725588487. The reversal of 205725588481 is 184885527502.

205725588481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 205725588481 - 2⁵ = 205725588449 is a prime.

It is a super-2 number, since 2×205725588481² (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 (205725588487) 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 15 ways as a sum of consecutive naturals, for example, 483390 + ... + 803191.

It is an arithmetic number, because the mean of its divisors is an integer number (15006692448).

Almost surely, 2^205725588481 is an apocalyptic number.

It is an amenable number.

205725588481 is a deficient number, since it is larger than the sum of its proper divisors (34381490687).

205725588481 is a wasteful number, since it uses less digits than its factorization.

205725588481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287072.

The product of its (nonzero) digits is 7168000, while the sum is 55.

The spelling of 205725588481 in words is "two hundred five billion, seven hundred twenty-five million, five hundred eighty-eight thousand, four hundred eighty-one".