9389107147225 has 243 divisors, whose sum is σ = 13919019551607. Its totient is φ = 6278547624960.

The previous prime is 9389107147169. The next prime is 9389107147283. The reversal of 9389107147225 is 5227417019839.

The square root of 9389107147225 is 3064165.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6837905973721 + 2551201173504 = 2614939^2 + 1597248^2 .

It is not a de Polignac number, because 9389107147225 - 2²³ = 9389098758617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9389107147225.

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 242 ways as a sum of consecutive naturals, for example, 159137409246 + ... + 159137409304.

Almost surely, 2^{9389107147225} is an apocalyptic number.

9389107147225 is the 3064165-th square number.

9389107147225 is the 1532083-rd centered octagonal number.

It is an amenable number.

9389107147225 is a deficient number, since it is larger than the sum of its proper divisors (4529912404382).

9389107147225 is a wasteful number, since it uses less digits than its factorization.

9389107147225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 9389107147225 in words is "nine trillion, three hundred eighty-nine billion, one hundred seven million, one hundred forty-seven thousand, two hundred twenty-five".