21289263612841 has 27 divisors (see below), whose sum is σ = 25356041304471. Its totient is φ = 17822406801024.

The previous prime is 21289263612829. The next prime is 21289263612857. The reversal of 21289263612841 is 14821636298212.

The square root of 21289263612841 is 4614029.

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., 1976754452841 + 19312509160000 = 1405971^2 + 4394600^2 .

It is not a de Polignac number, because 21289263612841 - 2¹⁷ = 21289263481769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21289263612821) 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, 1388815065 + ... + 1388830393.

Almost surely, 2^{21289263612841} is an apocalyptic number.

21289263612841 is the 4614029-th square number.

21289263612841 is the 2307015-th centered octagonal number.

It is an amenable number.

21289263612841 is a deficient number, since it is larger than the sum of its proper divisors (4066777691630).

21289263612841 is an frugal number, since it uses more digits than its factorization.

21289263612841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30758 (or 15379 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 55.

The spelling of 21289263612841 in words is "twenty-one trillion, two hundred eighty-nine billion, two hundred sixty-three million, six hundred twelve thousand, eight hundred forty-one".