9961038025 has 9 divisors (see below), whose sum is σ = 12352305973. Its totient is φ = 7968431200.

The previous prime is 9961037993. The next prime is 9961038029. The reversal of 9961038025 is 5208301699.

It is a happy number.

The square root of 9961038025 is 99805.

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 1327654969 + 8633383056 = 36437^2 + 92916^2 .

It is not a de Polignac number, because 9961038025 - 2⁵ = 9961037993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9961038029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 489045 + ... + 509005.

Almost surely, 2^9961038025 is an apocalyptic number.

9961038025 is the 99805-th square number.

9961038025 is the 49903-rd centered octagonal number.

It is an amenable number.

9961038025 is a deficient number, since it is larger than the sum of its proper divisors (2391267948).

9961038025 is an frugal number, since it uses more digits than its factorization.

9961038025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39932 (or 19966 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The cubic root of 9961038025 is about 2151.6330138964.

The spelling of 9961038025 in words is "nine billion, nine hundred sixty-one million, thirty-eight thousand, twenty-five".