10521336682921 has 27 divisors (see below), whose sum is σ = 11251782160983. Its totient is φ = 9836856095040.

The previous prime is 10521336682873. The next prime is 10521336682943. The reversal of 10521336682921 is 12928663312501.

The square root of 10521336682921 is 3243661.

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

It can be written as a sum of positive squares in only one way, i.e., 6595707740521 + 3925628942400 = 2568211^2 + 1981320^2 .

It is not a de Polignac number, because 10521336682921 - 2¹⁹ = 10521336158633 is a prime.

It is a super-2 number, since 2×10521336682921² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10521346682921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4868734081 + ... + 4868736241.

It is an arithmetic number, because the mean of its divisors is an integer number (416732672629).

Almost surely, 2^{10521336682921} is an apocalyptic number.

10521336682921 is the 3243661-st square number.

10521336682921 is the 1621831-st centered octagonal number.

It is an amenable number.

10521336682921 is a deficient number, since it is larger than the sum of its proper divisors (730445478062).

10521336682921 is an frugal number, since it uses more digits than its factorization.

10521336682921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 10521336682921 by its sum of digits (49), we get a square (515545497463129 = 22705627²).

The spelling of 10521336682921 in words is "ten trillion, five hundred twenty-one billion, three hundred thirty-six million, six hundred eighty-two thousand, nine hundred twenty-one".