903325252032 has 224 divisors, whose sum is σ = 3035699735040. Its totient is φ = 258031872000.

The previous prime is 903325252021. The next prime is 903325252051. The reversal of 903325252032 is 230252523309.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 84678763 + ... + 84689429.

It is an arithmetic number, because the mean of its divisors is an integer number (13552230960).

Almost surely, 2^903325252032 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 903325252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517849867520).

903325252032 is an abundant number, since it is smaller than the sum of its proper divisors (2132374483008).

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

903325252032 is a wasteful number, since it uses less digits than its factorization.

903325252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17696 (or 17680 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 903325252032 in words is "nine hundred three billion, three hundred twenty-five million, two hundred fifty-two thousand, thirty-two".