225331503606 has 192 divisors, whose sum is σ = 558104601600. Its totient is φ = 65100672000.

The previous prime is 225331503601. The next prime is 225331503613. The reversal of 225331503606 is 606305133522.

225331503606 is a `hidden beast` number, since 2 + 2 + 5 + 33 + 15 + 0 + 3 + 606 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225331503601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80445406 + ... + 80448206.

It is an arithmetic number, because the mean of its divisors is an integer number (2906794800).

Almost surely, 2^225331503606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225331503606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279052300800).

225331503606 is an abundant number, since it is smaller than the sum of its proper divisors (332773097994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225331503606 is a wasteful number, since it uses less digits than its factorization.

225331503606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 225331503606 in words is "two hundred twenty-five billion, three hundred thirty-one million, five hundred three thousand, six hundred six".