330330625 has 15 divisors (see below), whose sum is σ = 413349717. Its totient is φ = 263901000.

The previous prime is 330330613. The next prime is 330330643. The reversal of 330330625 is 526033033.

The square root of 330330625 is 18175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 25897921 + 304432704 = 5089^2 + 17448^2 .

It is not a de Polignac number, because 330330625 - 2¹⁵ = 330297857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 330330625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 454012 + ... + 454738.

Almost surely, 2^330330625 is an apocalyptic number.

330330625 is the 18175-th square number.

330330625 is the 9088-th centered octagonal number.

It is an amenable number.

330330625 is a deficient number, since it is larger than the sum of its proper divisors (83019092).

330330625 is an frugal number, since it uses more digits than its factorization.

330330625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 25.

The cubic root of 330330625 is about 691.2730296755.

Multiplying 330330625 by its sum of digits (25), we get a square (8258265625 = 90875²).

330330625 divided by its sum of digits (25) gives a square (13213225 = 3635²).

Adding to 330330625 its reverse (526033033), we get a palindrome (856363658).

The spelling of 330330625 in words is "three hundred thirty million, three hundred thirty thousand, six hundred twenty-five".