225564661601 has 2 divisors, whose sum is σ = 225564661602. Its totient is φ = 225564661600.

The previous prime is 225564661589. The next prime is 225564661603. The reversal of 225564661601 is 106166465522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220147701601 + 5416960000 = 469199^2 + 73600^2 .

It is a cyclic number.

It is not a de Polignac number, because 225564661601 - 2¹⁴ = 225564645217 is a prime.

Together with 225564661603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (225564661603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112782330800 + 112782330801.

It is an arithmetic number, because the mean of its divisors is an integer number (112782330801).

Almost surely, 2^225564661601 is an apocalyptic number.

It is an amenable number.

225564661601 is a deficient number, since it is larger than the sum of its proper divisors (1).

225564661601 is an equidigital number, since it uses as much as digits as its factorization.

225564661601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 225564661601 in words is "two hundred twenty-five billion, five hundred sixty-four million, six hundred sixty-one thousand, six hundred one".