9528688225 has 27 divisors (see below), whose sum is σ = 13749576537. Its totient is φ = 6531614880.

The previous prime is 9528688219. The next prime is 9528688229. The reversal of 9528688225 is 5228868259.

The square root of 9528688225 is 97615.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1366561 + 9527321664 = 1169^2 + 97608^2 .

It is not a de Polignac number, because 9528688225 - 2³ = 9528688217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9528688229) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3415131 + ... + 3417919.

Almost surely, 2^9528688225 is an apocalyptic number.

9528688225 is the 97615-th square number.

9528688225 is the 48808-th centered octagonal number.

It is an amenable number.

9528688225 is a deficient number, since it is larger than the sum of its proper divisors (4220888312).

9528688225 is an frugal number, since it uses more digits than its factorization.

9528688225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 2801 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 55.

The cubic root of 9528688225 is about 2120.0415490403.

The spelling of 9528688225 in words is "nine billion, five hundred twenty-eight million, six hundred eighty-eight thousand, two hundred twenty-five".