9306312890625 has 81 divisors (see below), whose sum is σ = 16813390317321. Its totient is φ = 4960316250000.

The previous prime is 9306312890617. The next prime is 9306312890659. The reversal of 9306312890625 is 5260982136039.

The square root of 9306312890625 is 3050625.

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

9306312890625 is a `hidden beast` number, since 9 + 3 + 0 + 6 + 3 + 1 + 2 + 8 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6616660410369 + 2689652480256 = 2572287^2 + 1640016^2 .

It is not a de Polignac number, because 9306312890625 - 2³ = 9306312890617 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5719921062 + ... + 5719922688.

Almost surely, 2^{9306312890625} is an apocalyptic number.

9306312890625 is the 3050625-th square number.

9306312890625 is the 1525313-rd centered octagonal number.

It is an amenable number.

9306312890625 is a deficient number, since it is larger than the sum of its proper divisors (7507077426696).

9306312890625 is an frugal number, since it uses more digits than its factorization.

9306312890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 9306312890625 in words is "nine trillion, three hundred six billion, three hundred twelve million, eight hundred ninety thousand, six hundred twenty-five".