225261232425601 has 2 divisors, whose sum is σ = 225261232425602. Its totient is φ = 225261232425600.

The previous prime is 225261232425569. The next prime is 225261232425613. The reversal of 225261232425601 is 106524232162522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123454343222001 + 101806889203600 = 11111001^2 + 10089940^2 .

It is a cyclic number.

It is not a de Polignac number, because 225261232425601 - 2⁵ = 225261232425569 is a prime.

It is a super-2 number, since 2×225261232425601² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225261232425631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112630616212800 + 112630616212801.

It is an arithmetic number, because the mean of its divisors is an integer number (112630616212801).

Almost surely, 2^{225261232425601} is an apocalyptic number.

It is an amenable number.

225261232425601 is a deficient number, since it is larger than the sum of its proper divisors (1).

225261232425601 is an equidigital number, since it uses as much as digits as its factorization.

225261232425601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 225261232425601 in words is "two hundred twenty-five trillion, two hundred sixty-one billion, two hundred thirty-two million, four hundred twenty-five thousand, six hundred one".