330306452692225 has 27 divisors (see below), whose sum is σ = 412844859273321. Its totient is φ = 262155331720800.

The previous prime is 330306452692159. The next prime is 330306452692241. The reversal of 330306452692225 is 522296254603033.

It is a happy number.

The square root of 330306452692225 is 18174335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 181612036275201 + 148694416417024 = 13476351^2 + 12194032^2 .

It is not a de Polignac number, because 330306452692225 - 2¹⁵ = 330306452659457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11540688415 + ... + 11540717035.

Almost surely, 2^{330306452692225} is an apocalyptic number.

330306452692225 is the 18174335-th square number.

330306452692225 is the 9087168-th centered octagonal number.

It is an amenable number.

330306452692225 is a deficient number, since it is larger than the sum of its proper divisors (82538406581096).

330306452692225 is an frugal number, since it uses more digits than its factorization.

330306452692225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57506 (or 28753 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 52.

It can be divided in two parts, 3303064 and 52692225, that added together give a square (55995289 = 7483²).

The spelling of 330306452692225 in words is "three hundred thirty trillion, three hundred six billion, four hundred fifty-two million, six hundred ninety-two thousand, two hundred twenty-five".