205304504401 has 12 divisors (see below), whose sum is σ = 225612046620. Its totient is φ = 186564734720.

The previous prime is 205304504381. The next prime is 205304504429. The reversal of 205304504401 is 104405403502.

It can be written as a sum of positive squares in 6 ways, for example, as 6424182801 + 198880321600 = 80151^2 + 445960^2 .

It is not a de Polignac number, because 205304504401 - 2⁹ = 205304503889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205304504401.

It is not an unprimeable number, because it can be changed into a prime (205304504441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12239830 + ... + 12256591.

It is an arithmetic number, because the mean of its divisors is an integer number (18801003885).

Almost surely, 2^205304504401 is an apocalyptic number.

It is an amenable number.

205304504401 is a deficient number, since it is larger than the sum of its proper divisors (20307542219).

205304504401 is a wasteful number, since it uses less digits than its factorization.

205304504401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24496484 (or 24496467 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 205304504401 its reverse (104405403502), we get a palindrome (309709907903).

The spelling of 205304504401 in words is "two hundred five billion, three hundred four million, five hundred four thousand, four hundred one".