657225128 has 64 divisors (see below), whose sum is σ = 1434672000. Its totient is φ = 276452352.

The previous prime is 657225113. The next prime is 657225133. The reversal of 657225128 is 821522756.

657225128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 657225091 and 657225100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811988 + ... + 812796.

It is an arithmetic number, because the mean of its divisors is an integer number (22416750).

Almost surely, 2^657225128 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 657225128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717336000).

657225128 is an abundant number, since it is smaller than the sum of its proper divisors (777446872).

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

657225128 is a wasteful number, since it uses less digits than its factorization.

657225128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1070 counting only the distinct ones).

The product of its digits is 67200, while the sum is 38.

The square root of 657225128 is about 25636.4023997128. The cubic root of 657225128 is about 869.4368699111.

The spelling of 657225128 in words is "six hundred fifty-seven million, two hundred twenty-five thousand, one hundred twenty-eight".