225726735882001 has 2 divisors, whose sum is σ = 225726735882002. Its totient is φ = 225726735882000.

The previous prime is 225726735881993. The next prime is 225726735882101. The reversal of 225726735882001 is 100288537627522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208358254544400 + 17368481337601 = 14434620^2 + 4167551^2 .

It is a cyclic number.

It is not a de Polignac number, because 225726735882001 - 2³ = 225726735881993 is a prime.

It is not a weakly prime, because it can be changed into another prime (225726735882101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112863367941000 + 112863367941001.

It is an arithmetic number, because the mean of its divisors is an integer number (112863367941001).

Almost surely, 2^{225726735882001} is an apocalyptic number.

It is an amenable number.

225726735882001 is a deficient number, since it is larger than the sum of its proper divisors (1).

225726735882001 is an equidigital number, since it uses as much as digits as its factorization.

225726735882001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 225726735882001 in words is "two hundred twenty-five trillion, seven hundred twenty-six billion, seven hundred thirty-five million, eight hundred eighty-two thousand, one".