225553252041 has 24 divisors (see below), whose sum is σ = 352225877640. Its totient is φ = 138261897216.

The previous prime is 225553252007. The next prime is 225553252051. The reversal of 225553252041 is 140252355522.

225553252041 is a `hidden beast` number, since 2 + 25 + 553 + 25 + 20 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35007906816 + 190545345225 = 187104^2 + 436515^2 .

It is not a de Polignac number, because 225553252041 - 2⁶ = 225553251977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225553251987 and 225553252005.

It is not an unprimeable number, because it can be changed into a prime (225553252051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3720526 + ... + 3780663.

It is an arithmetic number, because the mean of its divisors is an integer number (14676078235).

Almost surely, 2^225553252041 is an apocalyptic number.

It is an amenable number.

225553252041 is a deficient number, since it is larger than the sum of its proper divisors (126672625599).

225553252041 is a wasteful number, since it uses less digits than its factorization.

225553252041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501465 (or 7501462 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 225553252041 in words is "two hundred twenty-five billion, five hundred fifty-three million, two hundred fifty-two thousand, forty-one".