330305040225 has 72 divisors (see below), whose sum is σ = 604638312824. Its totient is φ = 172316160000.

The previous prime is 330305040193. The next prime is 330305040259. The reversal of 330305040225 is 522040503033.

330305040225 is a `hidden beast` number, since 330 + 305 + 0 + 4 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 284685206481 + 45619833744 = 533559^2 + 213588^2 .

It is not a de Polignac number, because 330305040225 - 2⁵ = 330305040193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2417745 + ... + 2550705.

Almost surely, 2^330305040225 is an apocalyptic number.

It is an amenable number.

330305040225 is a deficient number, since it is larger than the sum of its proper divisors (274333272599).

330305040225 is a wasteful number, since it uses less digits than its factorization.

330305040225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133219 (or 133211 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 330305040225 its reverse (522040503033), we get a palindrome (852345543258).

The spelling of 330305040225 in words is "three hundred thirty billion, three hundred five million, forty thousand, two hundred twenty-five".