225723747001 has 2 divisors, whose sum is σ = 225723747002. Its totient is φ = 225723747000.

The previous prime is 225723746999. The next prime is 225723747013. The reversal of 225723747001 is 100747327522.

225723747001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221770355625 + 3953391376 = 470925^2 + 62876^2 .

It is a cyclic number.

It is not a de Polignac number, because 225723747001 - 2¹ = 225723746999 is a prime.

It is a super-3 number, since 3×225723747001³ (a number of 35 digits) contains 333 as substring.

Together with 225723746999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (225723747101) 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, 112861873500 + 112861873501.

It is an arithmetic number, because the mean of its divisors is an integer number (112861873501).

Almost surely, 2^225723747001 is an apocalyptic number.

It is an amenable number.

225723747001 is a deficient number, since it is larger than the sum of its proper divisors (1).

225723747001 is an equidigital number, since it uses as much as digits as its factorization.

225723747001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 225723747001 in words is "two hundred twenty-five billion, seven hundred twenty-three million, seven hundred forty-seven thousand, one".