330021000225 has 288 divisors, whose sum is σ = 707345084160. Its totient is φ = 143980462080.

The previous prime is 330021000209. The next prime is 330021000229. The reversal of 330021000225 is 522000120033.

It is not a de Polignac number, because 330021000225 - 2⁴ = 330021000209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330021000198 and 330021000207.

It is not an unprimeable number, because it can be changed into a prime (330021000229) 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 287 ways as a sum of consecutive naturals, for example, 556527529 + ... + 556528121.

It is an arithmetic number, because the mean of its divisors is an integer number (2456059320).

Almost surely, 2^330021000225 is an apocalyptic number.

330021000225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

330021000225 is an abundant number, since it is smaller than the sum of its proper divisors (377324083935).

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

330021000225 is a wasteful number, since it uses less digits than its factorization.

330021000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 330021000225 its reverse (522000120033), we get a palindrome (852021120258).

The spelling of 330021000225 in words is "three hundred thirty billion, twenty-one million, two hundred twenty-five", and thus it is an aban number.