205225413301201 has 2 divisors, whose sum is σ = 205225413301202. Its totient is φ = 205225413301200.

The previous prime is 205225413301169. The next prime is 205225413301231. The reversal of 205225413301201 is 102103314522502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168681260430225 + 36544152870976 = 12987735^2 + 6045176^2 .

It is a cyclic number.

It is not a de Polignac number, because 205225413301201 - 2⁵ = 205225413301169 is a prime.

It is not a weakly prime, because it can be changed into another prime (205225413301231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102612706650600 + 102612706650601.

It is an arithmetic number, because the mean of its divisors is an integer number (102612706650601).

Almost surely, 2^{205225413301201} is an apocalyptic number.

It is an amenable number.

205225413301201 is a deficient number, since it is larger than the sum of its proper divisors (1).

205225413301201 is an equidigital number, since it uses as much as digits as its factorization.

205225413301201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 205225413301201 its reverse (102103314522502), we get a palindrome (307328727823703).

The spelling of 205225413301201 in words is "two hundred five trillion, two hundred twenty-five billion, four hundred thirteen million, three hundred one thousand, two hundred one".