9960241320225 has 405 divisors, whose sum is σ = 22067456422473. Its totient is φ = 4428276168960.

The previous prime is 9960241320179. The next prime is 9960241320241. The reversal of 9960241320225 is 5220231420699.

The square root of 9960241320225 is 3155985.

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

9960241320225 is a `hidden beast` number, since 9 + 9 + 6 + 0 + 2 + 413 + 2 + 0 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1961548705809 + 7998692614416 = 1400553^2 + 2828196^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 9960241320225 - 2²¹ = 9960239223073 is a prime.

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

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 404 ways as a sum of consecutive naturals, for example, 42747816709 + ... + 42747816941.

Almost surely, 2^{9960241320225} is an apocalyptic number.

9960241320225 is the 3155985-th square number.

9960241320225 is the 1577993-rd centered octagonal number.

It is an amenable number.

9960241320225 is an abundant number, since it is smaller than the sum of its proper divisors (12107215102248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9960241320225 is an equidigital number, since it uses as much as digits as its factorization.

9960241320225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 9960241320225 in words is "nine trillion, nine hundred sixty billion, two hundred forty-one million, three hundred twenty thousand, two hundred twenty-five".