225064441125 has 96 divisors (see below), whose sum is σ = 408767703552. Its totient is φ = 119135232000.

The previous prime is 225064441123. The next prime is 225064441169. The reversal of 225064441125 is 521144460522.

225064441125 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 644 + 4 + 1 + 1 + 2 + 5 = 666.

225064441125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225064441125 - 2¹ = 225064441123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225064441125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225064441123) 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 in 95 ways as a sum of consecutive naturals, for example, 89916624 + ... + 89919126.

It is an arithmetic number, because the mean of its divisors is an integer number (4257996912).

Almost surely, 2^225064441125 is an apocalyptic number.

225064441125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225064441125 is a deficient number, since it is larger than the sum of its proper divisors (183703262427).

225064441125 is a wasteful number, since it uses less digits than its factorization.

225064441125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 225064441125 in words is "two hundred twenty-five billion, sixty-four million, four hundred forty-one thousand, one hundred twenty-five".