10824113521 has 27 divisors (see below), whose sum is σ = 12025742337. Its totient is φ = 9738050400.

The previous prime is 10824113453. The next prime is 10824113527. The reversal of 10824113521 is 12531142801.

The square root of 10824113521 is 104039.

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

10824113521 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 280931121 + 10543182400 = 16761^2 + 102680^2 .

It is not a de Polignac number, because 10824113521 - 2⁹ = 10824113009 is a prime.

It is a super-2 number, since 2×10824113521² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10824113521.

It is not an unprimeable number, because it can be changed into a prime (10824113527) 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, 71682796 + ... + 71682946.

Almost surely, 2^10824113521 is an apocalyptic number.

10824113521 is the 104039-th square number.

10824113521 is the 52020-th centered octagonal number.

It is an amenable number.

10824113521 is a deficient number, since it is larger than the sum of its proper divisors (1201628816).

10824113521 is an frugal number, since it uses more digits than its factorization.

10824113521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 10824113521 in words is "ten billion, eight hundred twenty-four million, one hundred thirteen thousand, five hundred twenty-one".