225610023761 has 2 divisors, whose sum is σ = 225610023762. Its totient is φ = 225610023760.

The previous prime is 225610023721. The next prime is 225610023781. The reversal of 225610023761 is 167320016522.

225610023761 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., 225420796225 + 189227536 = 474785^2 + 13756^2 .

It is a cyclic number.

It is not a de Polignac number, because 225610023761 - 2⁶ = 225610023697 is a prime.

It is not a weakly prime, because it can be changed into another prime (225610023721) 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, 112805011880 + 112805011881.

It is an arithmetic number, because the mean of its divisors is an integer number (112805011881).

Almost surely, 2^225610023761 is an apocalyptic number.

It is an amenable number.

225610023761 is a deficient number, since it is larger than the sum of its proper divisors (1).

225610023761 is an equidigital number, since it uses as much as digits as its factorization.

225610023761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 225610023761 in words is "two hundred twenty-five billion, six hundred ten million, twenty-three thousand, seven hundred sixty-one".