9696528905625 has 45 divisors (see below), whose sum is σ = 17502440748793. Its totient is φ = 5171357526000.

The previous prime is 9696528905587. The next prime is 9696528905653. The reversal of 9696528905625 is 5265098256969.

The square root of 9696528905625 is 3113925.

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

9696528905625 is a `hidden beast` number, since 9 + 6 + 9 + 6 + 52 + 8 + 9 + 0 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 760207866201 + 8936321039424 = 871899^2 + 2989368^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 9696528905625 - 2²¹ = 9696526808473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 233523616 + ... + 233565134.

Almost surely, 2^{9696528905625} is an apocalyptic number.

9696528905625 is the 3113925-th square number.

9696528905625 is the 1556963-rd centered octagonal number.

It is an amenable number.

9696528905625 is a deficient number, since it is larger than the sum of its proper divisors (7805911843168).

9696528905625 is an frugal number, since it uses more digits than its factorization.

9696528905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83064 (or 41527 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 9696528905625 in words is "nine trillion, six hundred ninety-six billion, five hundred twenty-eight million, nine hundred five thousand, six hundred twenty-five".