10482688225 has 9 divisors (see below), whose sum is σ = 12999168217. Its totient is φ = 8385741040.

The previous prime is 10482688207. The next prime is 10482688241. The reversal of 10482688225 is 52288628401.

The square root of 10482688225 is 102385.

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 278455969 + 10204232256 = 16687^2 + 101016^2 .

It is not a de Polignac number, because 10482688225 - 2¹⁵ = 10482655457 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 (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 501687 + ... + 522163.

Almost surely, 2^10482688225 is an apocalyptic number.

10482688225 is the 102385-th square number.

10482688225 is the 51193-rd centered octagonal number.

It is an amenable number.

10482688225 is a deficient number, since it is larger than the sum of its proper divisors (2516479992).

10482688225 is an frugal number, since it uses more digits than its factorization.

10482688225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40964 (or 20482 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 10482688225 in words is "ten billion, four hundred eighty-two million, six hundred eighty-eight thousand, two hundred twenty-five".