9800938116025 has 81 divisors (see below), whose sum is σ = 14782546506861. Its totient is φ = 6426788417280.

The previous prime is 9800938116023. The next prime is 9800938116041. The reversal of 9800938116025 is 5206118390089.

The square root of 9800938116025 is 3130645.

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 81483415209 + 9719454700816 = 285453^2 + 3117604^2 .

It is not a de Polignac number, because 9800938116025 - 2¹ = 9800938116023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9800938116023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2520167281 + ... + 2520171169.

Almost surely, 2^{9800938116025} is an apocalyptic number.

9800938116025 is the 3130645-th square number.

9800938116025 is the 1565323-rd centered octagonal number.

It is an amenable number.

9800938116025 is a deficient number, since it is larger than the sum of its proper divisors (4981608390836).

9800938116025 is an frugal number, since it uses more digits than its factorization.

9800938116025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 9800938116025 in words is "nine trillion, eight hundred billion, nine hundred thirty-eight million, one hundred sixteen thousand, twenty-five".