330929820225 has 27 divisors (see below), whose sum is σ = 592747533859. Its totient is φ = 176491302000.

The previous prime is 330929820217. The next prime is 330929820229. The reversal of 330929820225 is 522028929033.

The square root of 330929820225 is 575265.

It is a perfect power (a square), and thus also a powerful number.

330929820225 is a `hidden beast` number, since 330 + 9 + 2 + 98 + 2 + 0 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119134735281 + 211795084944 = 345159^2 + 460212^2 .

It is not a de Polignac number, because 330929820225 - 2³ = 330929820217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330929820229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8609800 + ... + 8648150.

Almost surely, 2^330929820225 is an apocalyptic number.

330929820225 is the 575265-th square number.

330929820225 is the 287633-rd centered octagonal number.

It is an amenable number.

330929820225 is a deficient number, since it is larger than the sum of its proper divisors (261817713634).

330929820225 is an frugal number, since it uses more digits than its factorization.

330929820225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76718 (or 38359 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 330929820225 in words is "three hundred thirty billion, nine hundred twenty-nine million, eight hundred twenty thousand, two hundred twenty-five".