225057536667569 has 2 divisors, whose sum is σ = 225057536667570. Its totient is φ = 225057536667568.

The previous prime is 225057536667529. The next prime is 225057536667571. The reversal of 225057536667569 is 965766635750522.

It is a happy number.

225057536667569 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., 202398651449344 + 22658885218225 = 14226688^2 + 4760135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-225057536667569 is a prime.

It is a super-2 number, since 2×225057536667569² (a number of 30 digits) contains 22 as substring.

Together with 225057536667571, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 225057536667496 and 225057536667505.

It is not a weakly prime, because it can be changed into another prime (225057536667529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112528768333784 + 112528768333785.

It is an arithmetic number, because the mean of its divisors is an integer number (112528768333785).

Almost surely, 2^{225057536667569} is an apocalyptic number.

It is an amenable number.

225057536667569 is a deficient number, since it is larger than the sum of its proper divisors (1).

225057536667569 is an equidigital number, since it uses as much as digits as its factorization.

225057536667569 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4286520000, while the sum is 74.

The spelling of 225057536667569 in words is "two hundred twenty-five trillion, fifty-seven billion, five hundred thirty-six million, six hundred sixty-seven thousand, five hundred sixty-nine".