9325125600 has 576 divisors, whose sum is σ = 37203618816. Its totient is φ = 1980334080.

The previous prime is 9325125581. The next prime is 9325125619. The reversal of 9325125600 is 65215239.

9325125600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9325125581) and next prime (9325125619).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29416642 + ... + 29416958.

It is an arithmetic number, because the mean of its divisors is an integer number (64589616).

Almost surely, 2^9325125600 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 9325125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601809408).

9325125600 is an abundant number, since it is smaller than the sum of its proper divisors (27878493216).

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

9325125600 is a wasteful number, since it uses less digits than its factorization.

9325125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 9325125600 is about 96566.6899090986. The cubic root of 9325125600 is about 2104.8358397003.

The spelling of 9325125600 in words is "nine billion, three hundred twenty-five million, one hundred twenty-five thousand, six hundred".