331003373952 has 256 divisors, whose sum is σ = 957328588800. Its totient is φ = 100946995200.

The previous prime is 331003373941. The next prime is 331003373957. The reversal of 331003373952 is 259373300133.

It is a self number, because there is not a number n which added to its sum of digits gives 331003373952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331003373957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137287627 + ... + 137290037.

It is an arithmetic number, because the mean of its divisors is an integer number (3739564800).

Almost surely, 2^331003373952 is an apocalyptic number.

331003373952 is a gapful number since it is divisible by the number (32) 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 331003373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478664294400).

331003373952 is an abundant number, since it is smaller than the sum of its proper divisors (626325214848).

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

331003373952 is a wasteful number, since it uses less digits than its factorization.

331003373952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 39.

The spelling of 331003373952 in words is "three hundred thirty-one billion, three million, three hundred seventy-three thousand, nine hundred fifty-two".