225656162801 has 2 divisors, whose sum is σ = 225656162802. Its totient is φ = 225656162800.

The previous prime is 225656162779. The next prime is 225656162803. The reversal of 225656162801 is 108261656522.

It is a happy number.

225656162801 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., 217528960000 + 8127202801 = 466400^2 + 90151^2 .

It is a cyclic number.

It is not a de Polignac number, because 225656162801 - 2²² = 225651968497 is a prime.

Together with 225656162803, 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 (225656162803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112828081400 + 112828081401.

It is an arithmetic number, because the mean of its divisors is an integer number (112828081401).

Almost surely, 2^225656162801 is an apocalyptic number.

It is an amenable number.

225656162801 is a deficient number, since it is larger than the sum of its proper divisors (1).

225656162801 is an equidigital number, since it uses as much as digits as its factorization.

225656162801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 225656162801 in words is "two hundred twenty-five billion, six hundred fifty-six million, one hundred sixty-two thousand, eight hundred one".