9217629963025 has 27 divisors (see below), whose sum is σ = 12563628701169. Its totient is φ = 6703609440000.

The previous prime is 9217629963007. The next prime is 9217629963127. The reversal of 9217629963025 is 5203699267129.

The square root of 9217629963025 is 3036055.

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 4305927955329 + 4911702007696 = 2075073^2 + 2216236^2 .

It is not a de Polignac number, because 9217629963025 - 2⁵ = 9217629962993 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166955425 + ... + 167010625.

Almost surely, 2^{9217629963025} is an apocalyptic number.

9217629963025 is the 3036055-th square number.

9217629963025 is the 1518028-th centered octagonal number.

It is an amenable number.

9217629963025 is a deficient number, since it is larger than the sum of its proper divisors (3345998738144).

9217629963025 is an frugal number, since it uses more digits than its factorization.

9217629963025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110434 (or 55217 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 61.

The spelling of 9217629963025 in words is "nine trillion, two hundred seventeen billion, six hundred twenty-nine million, nine hundred sixty-three thousand, twenty-five".