21829817273121 has 81 divisors (see below), whose sum is σ = 37533708550611. Its totient is φ = 12211363850400.

The previous prime is 21829817273087. The next prime is 21829817273153. The reversal of 21829817273121 is 12137271892812.

The square root of 21829817273121 is 4672239.

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

21829817273121 is a `hidden beast` number, since 2 + 1 + 8 + 298 + 17 + 27 + 312 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3229262910225 + 18600554362896 = 1797015^2 + 4312836^2 .

It is not a de Polignac number, because 21829817273121 - 2¹⁹ = 21829816748833 is a prime.

It is a super-3 number, since 3×21829817273121³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21829817773121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2004385086 + ... + 2004395976.

Almost surely, 2^{21829817273121} is an apocalyptic number.

21829817273121 is the 4672239-th square number.

21829817273121 is the 2336120-th centered octagonal number.

It is an amenable number.

21829817273121 is a deficient number, since it is larger than the sum of its proper divisors (15703891277490).

21829817273121 is an equidigital number, since it uses as much as digits as its factorization.

21829817273121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21836 (or 10918 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 21829817273121 in words is "twenty-one trillion, eight hundred twenty-nine billion, eight hundred seventeen million, two hundred seventy-three thousand, one hundred twenty-one".