225753157071329 has 2 divisors, whose sum is σ = 225753157071330. Its totient is φ = 225753157071328.

The previous prime is 225753157071319. The next prime is 225753157071331. The reversal of 225753157071329 is 923170751357522.

225753157071329 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., 223312735097104 + 2440421974225 = 14943652^2 + 1562185^2 .

It is a cyclic number.

It is not a de Polignac number, because 225753157071329 - 2⁴ = 225753157071313 is a prime.

Together with 225753157071331, 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 (225753157071319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112876578535664 + 112876578535665.

It is an arithmetic number, because the mean of its divisors is an integer number (112876578535665).

Almost surely, 2^{225753157071329} is an apocalyptic number.

It is an amenable number.

225753157071329 is a deficient number, since it is larger than the sum of its proper divisors (1).

225753157071329 is an equidigital number, since it uses as much as digits as its factorization.

225753157071329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27783000, while the sum is 59.

The spelling of 225753157071329 in words is "two hundred twenty-five trillion, seven hundred fifty-three billion, one hundred fifty-seven million, seventy-one thousand, three hundred twenty-nine".