10953924921 has 45 divisors (see below), whose sum is σ = 16989345373. Its totient is φ = 7033219200.

The previous prime is 10953924911. The next prime is 10953924923. The reversal of 10953924921 is 12942935901.

The square root of 10953924921 is 104661.

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

10953924921 is a `hidden beast` number, since 1 + 0 + 9 + 539 + 24 + 92 + 1 = 666.

10953924921 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 4652740521 + 6301184400 = 68211^2 + 79380^2 .

It is not a de Polignac number, because 10953924921 - 2¹¹ = 10953922873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10953924923) 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 44 ways as a sum of consecutive naturals, for example, 27316321 + ... + 27316721.

Almost surely, 2^10953924921 is an apocalyptic number.

10953924921 is the 104661-st square number.

10953924921 is the 52331-st centered octagonal number.

It is an amenable number.

10953924921 is a deficient number, since it is larger than the sum of its proper divisors (6035420452).

10953924921 is an frugal number, since it uses more digits than its factorization.

10953924921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10953924921 in words is "ten billion, nine hundred fifty-three million, nine hundred twenty-four thousand, nine hundred twenty-one".