11533686025 has 27 divisors (see below), whose sum is σ = 14644582869. Its totient is φ = 9010870080.

The previous prime is 11533686013. The next prime is 11533686029. The reversal of 11533686025 is 52068633511.

The square root of 11533686025 is 107395.

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

11533686025 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 4 ways, for example, as 803212281 + 10730473744 = 28341^2 + 103588^2 .

It is not a de Polignac number, because 11533686025 - 2¹⁹ = 11533161737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11533686029) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 25237597 + ... + 25238053.

Almost surely, 2^11533686025 is an apocalyptic number.

11533686025 is the 107395-th square number.

11533686025 is the 53698-th centered octagonal number.

It is an amenable number.

11533686025 is a deficient number, since it is larger than the sum of its proper divisors (3110896844).

11533686025 is an frugal number, since it uses more digits than its factorization.

11533686025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 11533686025 in words is "eleven billion, five hundred thirty-three million, six hundred eighty-six thousand, twenty-five".