330131052 has 72 divisors (see below), whose sum is σ = 903092736. Its totient is φ = 105252048.

The previous prime is 330131051. The next prime is 330131069. The reversal of 330131052 is 250131033.

330131052 is a `hidden beast` number, since 3 + 301 + 310 + 52 = 666.

It is a super-2 number, since 2×330131052² = 217973022989253408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (330131051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14973 + ... + 29739.

Almost surely, 2^330131052 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 330131052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451546368).

330131052 is an abundant number, since it is smaller than the sum of its proper divisors (572961684).

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

330131052 is a wasteful number, since it uses less digits than its factorization.

330131052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14809 (or 14795 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 330131052 is about 18169.5088541215. The cubic root of 330131052 is about 691.1337881454.

Adding to 330131052 its reverse (250131033), we get a palindrome (580262085).

The spelling of 330131052 in words is "three hundred thirty million, one hundred thirty-one thousand, fifty-two".