331225128 has 144 divisors (see below), whose sum is σ = 983193120. Its totient is φ = 100683648.

The previous prime is 331225123. The next prime is 331225129. The reversal of 331225128 is 821522133.

It is not an unprimeable number, because it can be changed into a prime (331225123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1983301 + ... + 1983467.

It is an arithmetic number, because the mean of its divisors is an integer number (6827730).

Almost surely, 2^331225128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331225128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491596560).

331225128 is an abundant number, since it is smaller than the sum of its proper divisors (651967992).

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

331225128 is a wasteful number, since it uses less digits than its factorization.

331225128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 331225128 is about 18199.5914239853. The cubic root of 331225128 is about 691.8964338755.

The spelling of 331225128 in words is "three hundred thirty-one million, two hundred twenty-five thousand, one hundred twenty-eight".