225600008017 has 2 divisors, whose sum is σ = 225600008018. Its totient is φ = 225600008016.

The previous prime is 225600007993. The next prime is 225600008021. The reversal of 225600008017 is 710800006522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136834147921 + 88765860096 = 369911^2 + 297936^2 .

It is a cyclic number.

It is not a de Polignac number, because 225600008017 - 2¹⁹ = 225599483729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225600008017.

It is not a weakly prime, because it can be changed into another prime (225600008047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112800004008 + 112800004009.

It is an arithmetic number, because the mean of its divisors is an integer number (112800004009).

Almost surely, 2^225600008017 is an apocalyptic number.

It is an amenable number.

225600008017 is a deficient number, since it is larger than the sum of its proper divisors (1).

225600008017 is an equidigital number, since it uses as much as digits as its factorization.

225600008017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 225600008017 in words is "two hundred twenty-five billion, six hundred million, eight thousand, seventeen".