233325625 has 45 divisors (see below), whose sum is σ = 322577211. Its totient is φ = 168636000.

The previous prime is 233325601. The next prime is 233325647. The reversal of 233325625 is 526523332.

The square root of 233325625 is 15275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 230462761 + 2862864 = 15181^2 + 1692^2 .

It is not a de Polignac number, because 233325625 - 2⁷ = 233325497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4964352 + ... + 4964398.

Almost surely, 2^233325625 is an apocalyptic number.

233325625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

233325625 is the 15275-th square number.

233325625 is the 7638-th centered octagonal number.

It is an amenable number.

233325625 is a deficient number, since it is larger than the sum of its proper divisors (89251586).

233325625 is an frugal number, since it uses more digits than its factorization.

233325625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 65 counting only the distinct ones).

The product of its digits is 32400, while the sum is 31.

The cubic root of 233325625 is about 615.6314707248.

Multiplying 233325625 by its product of digits (32400), we get a square (7559750250000 = 2749500²).

Adding to 233325625 its reverse (526523332), we get a palindrome (759848957).

The spelling of 233325625 in words is "two hundred thirty-three million, three hundred twenty-five thousand, six hundred twenty-five".