225105525120 has 256 divisors, whose sum is σ = 820506931200. Its totient is φ = 51422601216.

The previous prime is 225105525091. The next prime is 225105525121. The reversal of 225105525120 is 21525501522.

225105525120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225105525121) 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 31 ways as a sum of consecutive naturals, for example, 29658286 + ... + 29665874.

It is an arithmetic number, because the mean of its divisors is an integer number (3205105200).

Almost surely, 2^225105525120 is an apocalyptic number.

225105525120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225105525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410253465600).

225105525120 is an abundant number, since it is smaller than the sum of its proper divisors (595401406080).

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

225105525120 is a wasteful number, since it uses less digits than its factorization.

225105525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 225105525120 in words is "two hundred twenty-five billion, one hundred five million, five hundred twenty-five thousand, one hundred twenty".