225661545445249 has 2 divisors, whose sum is σ = 225661545445250. Its totient is φ = 225661545445248.

The previous prime is 225661545445201. The next prime is 225661545445289. The reversal of 225661545445249 is 942544545166522.

225661545445249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138394989939600 + 87266555505649 = 11764140^2 + 9341657^2 .

It is a cyclic number.

It is not a de Polignac number, because 225661545445249 - 2²⁷ = 225661411227521 is a prime.

It is not a weakly prime, because it can be changed into another prime (225661545445289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112830772722624 + 112830772722625.

It is an arithmetic number, because the mean of its divisors is an integer number (112830772722625).

Almost surely, 2^{225661545445249} is an apocalyptic number.

It is an amenable number.

225661545445249 is a deficient number, since it is larger than the sum of its proper divisors (1).

225661545445249 is an equidigital number, since it uses as much as digits as its factorization.

225661545445249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 414720000, while the sum is 64.

The spelling of 225661545445249 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 forty-nine".