8965249225 has 27 divisors (see below), whose sum is σ = 11531128063. Its totient is φ = 6914277440.

The previous prime is 8965249213. The next prime is 8965249229. The reversal of 8965249225 is 5229425698.

The square root of 8965249225 is 94685.

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

8965249225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 7695324729 + 1269924496 = 87723^2 + 35636^2 .

It is not a de Polignac number, because 8965249225 - 2⁹ = 8965248713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8965249229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13728999 + ... + 13729651.

Almost surely, 2^8965249225 is an apocalyptic number.

8965249225 is the 94685-th square number.

8965249225 is the 47343-rd centered octagonal number.

It is an amenable number.

8965249225 is a deficient number, since it is larger than the sum of its proper divisors (2565878838).

8965249225 is an frugal number, since it uses more digits than its factorization.

8965249225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 52.

The cubic root of 8965249225 is about 2077.4031652765.

The spelling of 8965249225 in words is "eight billion, nine hundred sixty-five million, two hundred forty-nine thousand, two hundred twenty-five".