331312520 has 192 divisors, whose sum is σ = 961320960. Its totient is φ = 102453120.

The previous prime is 331312489. The next prime is 331312529. The reversal of 331312520 is 25213133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331312492 and 331312501.

It is not an unprimeable number, because it can be changed into a prime (331312529) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2608697 + ... + 2608823.

It is an arithmetic number, because the mean of its divisors is an integer number (5006880).

Almost surely, 2^331312520 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 331312520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480660480).

331312520 is an abundant number, since it is smaller than the sum of its proper divisors (630008440).

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

331312520 is a wasteful number, since it uses less digits than its factorization.

331312520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 331312520 is about 18201.9921986578. The cubic root of 331312520 is about 691.9572795973.

Adding to 331312520 its reverse (25213133), we get a palindrome (356525653).

The spelling of 331312520 in words is "three hundred thirty-one million, three hundred twelve thousand, five hundred twenty".