225103431533552 has 160 divisors (see below), whose sum is σ = 521966636997120. Its totient is φ = 92693417794560.

The previous prime is 225103431533543. The next prime is 225103431533581. The reversal of 225103431533552 is 255335134301522.

225103431533552 is digitally balanced in base 2, 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 (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38507213 + ... + 43966035.

It is an arithmetic number, because the mean of its divisors is an integer number (3262291481232).

Almost surely, 2^{225103431533552} is an apocalyptic number.

225103431533552 is a gapful number since it is divisible by the number (22) 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 225103431533552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260983318498560).

225103431533552 is an abundant number, since it is smaller than the sum of its proper divisors (296863205463568).

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

225103431533552 is a wasteful number, since it uses less digits than its factorization.

225103431533552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459191 (or 5459185 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 44.

The spelling of 225103431533552 in words is "two hundred twenty-five trillion, one hundred three billion, four hundred thirty-one million, five hundred thirty-three thousand, five hundred fifty-two".