331325000 has 96 divisors (see below), whose sum is σ = 805026600. Its totient is φ = 127680000.

The previous prime is 331324999. The next prime is 331325003. The reversal of 331325000 is 523133.

It can be written as a sum of positive squares in 12 ways, for example, as 84897796 + 246427204 = 9214^2 + 15698^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 331325000.

It is not an unprimeable number, because it can be changed into a prime (331325003) 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 23 ways as a sum of consecutive naturals, for example, 724772 + ... + 725228.

Almost surely, 2^331325000 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 331325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402513300).

331325000 is an abundant number, since it is smaller than the sum of its proper divisors (473701600).

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

331325000 is an equidigital number, since it uses as much as digits as its factorization.

331325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 331325000 is about 18202.3350150468. The cubic root of 331325000 is about 691.9659677874.

Adding to 331325000 its reverse (523133), we get a palindrome (331848133).

The spelling of 331325000 in words is "three hundred thirty-one million, three hundred twenty-five thousand".