225723755776781 has 2 divisors, whose sum is σ = 225723755776782. Its totient is φ = 225723755776780.

The previous prime is 225723755776663. The next prime is 225723755776789. The reversal of 225723755776781 is 187677557327522.

225723755776781 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., 225685541391556 + 38214385225 = 15022834^2 + 195485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-225723755776781 is a prime.

It is a super-2 number, since 2×225723755776781² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225723755776699 and 225723755776708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225723755776789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112861877888390 + 112861877888391.

It is an arithmetic number, because the mean of its divisors is an integer number (112861877888391).

Almost surely, 2^{225723755776781} is an apocalyptic number.

It is an amenable number.

225723755776781 is a deficient number, since it is larger than the sum of its proper divisors (1).

225723755776781 is an equidigital number, since it uses as much as digits as its factorization.

225723755776781 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2420208000, while the sum is 74.

The spelling of 225723755776781 in words is "two hundred twenty-five trillion, seven hundred twenty-three billion, seven hundred fifty-five million, seven hundred seventy-six thousand, seven hundred eighty-one".