225661545445201 has 2 divisors, whose sum is σ = 225661545445202. Its totient is φ = 225661545445200.

The previous prime is 225661545445157. The next prime is 225661545445249. The reversal of 225661545445201 is 102544545166522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137414685204801 + 88246860240400 = 11722401^2 + 9393980^2 .

It is a cyclic number.

It is not a de Polignac number, because 225661545445201 - 2¹⁷ = 225661545314129 is a prime.

It is not a weakly prime, because it can be changed into another prime (225661545445801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112830772722600 + 112830772722601.

It is an arithmetic number, because the mean of its divisors is an integer number (112830772722601).

Almost surely, 2^{225661545445201} is an apocalyptic number.

It is an amenable number.

225661545445201 is a deficient number, since it is larger than the sum of its proper divisors (1).

225661545445201 is an equidigital number, since it uses as much as digits as its factorization.

225661545445201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520000, while the sum is 52.

The spelling of 225661545445201 in words is "two hundred twenty-five trillion, six hundred sixty-one billion, five hundred forty-five million, four hundred forty-five thousand, two hundred one".