330225942529 has 32 divisors (see below), whose sum is σ = 391782465536. Its totient is φ = 272371196160.

The previous prime is 330225942503. The next prime is 330225942551. The reversal of 330225942529 is 925249522033.

It is a happy number.

It is a Cunningham number, because it is equal to 6912³+1.

It is not a de Polignac number, because 330225942529 - 2¹¹ = 330225940481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330225942329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46790569 + ... + 46797625.

It is an arithmetic number, because the mean of its divisors is an integer number (12243202048).

It is a Proth number, since it is equal to 19683 ⋅ 2²⁴ + 1 and 19683 < 2²⁴.

Almost surely, 2^330225942529 is an apocalyptic number.

It is an amenable number.

330225942529 is a deficient number, since it is larger than the sum of its proper divisors (61556523007).

330225942529 is a wasteful number, since it uses less digits than its factorization.

330225942529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 330225942529 in words is "three hundred thirty billion, two hundred twenty-five million, nine hundred forty-two thousand, five hundred twenty-nine".