9508188096225 has 567 divisors, whose sum is σ = 22355733792969. Its totient is φ = 3996261360000.

The previous prime is 9508188096191. The next prime is 9508188096241. The reversal of 9508188096225 is 5226908818059.

The square root of 9508188096225 is 3083535.

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

9508188096225 is a `hidden beast` number, since 9 + 508 + 18 + 8 + 0 + 96 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2450749547169 + 7057438549056 = 1565487^2 + 2656584^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is not a de Polignac number, because 9508188096225 - 2¹⁵ = 9508188063457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 37881227350 + ... + 37881227600.

Almost surely, 2^{9508188096225} is an apocalyptic number.

9508188096225 is the 3083535-th square number.

9508188096225 is the 1541768-th centered octagonal number.

It is an amenable number.

9508188096225 is an abundant number, since it is smaller than the sum of its proper divisors (12847545696744).

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

9508188096225 is an equidigital number, since it uses as much as digits as its factorization.

9508188096225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 9508188096225 in words is "nine trillion, five hundred eight billion, one hundred eighty-eight million, ninety-six thousand, two hundred twenty-five".