225561267001201 has 2 divisors, whose sum is σ = 225561267001202. Its totient is φ = 225561267001200.

The previous prime is 225561267001193. The next prime is 225561267001207. The reversal of 225561267001201 is 102100762165522.

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., 172697839517025 + 52863427484176 = 13141455^2 + 7270724^2 .

It is a cyclic number.

It is not a de Polignac number, because 225561267001201 - 2³ = 225561267001193 is a prime.

It is not a weakly prime, because it can be changed into another prime (225561267001207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112780633500600 + 112780633500601.

It is an arithmetic number, because the mean of its divisors is an integer number (112780633500601).

Almost surely, 2^{225561267001201} is an apocalyptic number.

It is an amenable number.

225561267001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

225561267001201 is an equidigital number, since it uses as much as digits as its factorization.

225561267001201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 225561267001201 in words is "two hundred twenty-five trillion, five hundred sixty-one billion, two hundred sixty-seven million, one thousand, two hundred one".