9048765625 has 21 divisors (see below), whose sum is σ = 11325694873. Its totient is φ = 7229500000.

The previous prime is 9048765581. The next prime is 9048765647. The reversal of 9048765625 is 5265678409.

The square root of 9048765625 is 95125.

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

9048765625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 1444228009 + 7604537616 = 38003^2 + 87204^2 .

It is not a de Polignac number, because 9048765625 - 2⁷ = 9048765497 is a prime.

It is a Duffinian number.

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 20 ways as a sum of consecutive naturals, for example, 11890245 + ... + 11891005.

Almost surely, 2^9048765625 is an apocalyptic number.

9048765625 is the 95125-th square number.

9048765625 is the 47563-rd centered octagonal number.

It is an amenable number.

9048765625 is a deficient number, since it is larger than the sum of its proper divisors (2276929248).

9048765625 is an frugal number, since it uses more digits than its factorization.

9048765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The cubic root of 9048765625 is about 2083.8339685741.

The spelling of 9048765625 in words is "nine billion, forty-eight million, seven hundred sixty-five thousand, six hundred twenty-five".