205544232225 has 36 divisors (see below), whose sum is σ = 368178583500. Its totient is φ = 109615841280.

The previous prime is 205544232221. The next prime is 205544232241. The reversal of 205544232225 is 522232445502.

205544232225 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 4 + 423 + 2 + 225 = 666.

205544232225 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 6 ways, for example, as 2806562529 + 202737669696 = 52977^2 + 450264^2 .

It is not a de Polignac number, because 205544232225 - 2² = 205544232221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205544232225.

It is not an unprimeable number, because it can be changed into a prime (205544232221) 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 35 ways as a sum of consecutive naturals, for example, 4687201 + ... + 4730849.

It is an arithmetic number, because the mean of its divisors is an integer number (10227182875).

Almost surely, 2^205544232225 is an apocalyptic number.

205544232225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205544232225 is a deficient number, since it is larger than the sum of its proper divisors (162634351275).

205544232225 is a wasteful number, since it uses less digits than its factorization.

205544232225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64594 (or 64586 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 205544232225 its reverse (522232445502), we get a palindrome (727776677727).

The spelling of 205544232225 in words is "two hundred five billion, five hundred forty-four million, two hundred thirty-two thousand, two hundred twenty-five".