9965030625 has 105 divisors (see below), whose sum is σ = 19785323701. Its totient is φ = 4831530000.

The previous prime is 9965030611. The next prime is 9965030627. The reversal of 9965030625 is 5260305699.

The square root of 9965030625 is 99825.

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

9965030625 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 2 ways, for example, as 781258401 + 9183772224 = 27951^2 + 95832^2 .

It is not a de Polignac number, because 9965030625 - 2²⁵ = 9931476193 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9965030627) 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 104 ways as a sum of consecutive naturals, for example, 905911870 + ... + 905911880.

Almost surely, 2^9965030625 is an apocalyptic number.

9965030625 is the 99825-th square number.

9965030625 is the 49913-rd centered octagonal number.

It is an amenable number.

9965030625 is a deficient number, since it is larger than the sum of its proper divisors (9820293076).

9965030625 is an frugal number, since it uses more digits than its factorization.

9965030625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The cubic root of 9965030625 is about 2151.9204492165.

9965030625 divided by its sum of digits (45) gives a cube (221445125 = 605³).

The spelling of 9965030625 in words is "nine billion, nine hundred sixty-five million, thirty thousand, six hundred twenty-five".