21801232534041 has 9 divisors (see below), whose sum is σ = 31490689448959. Its totient is φ = 14534145684336.

The previous prime is 21801232534027. The next prime is 21801232534063. The reversal of 21801232534041 is 14043523210812.

The square root of 21801232534041 is 4669179.

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

21801232534041 is a `hidden beast` number, since 2 + 1 + 80 + 1 + 2 + 3 + 2 + 534 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 908142291225 + 20893090242816 = 952965^2 + 4570896^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 21801232534041 - 2⁹ = 21801232533529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21801232533987 and 21801232534005.

It is not an unprimeable number, because it can be changed into a prime (21801232534001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13229341 + ... + 14785733.

Almost surely, 2^{21801232534041} is an apocalyptic number.

21801232534041 is the 4669179-th square number.

21801232534041 is the 2334590-th centered octagonal number.

It is an amenable number.

21801232534041 is a deficient number, since it is larger than the sum of its proper divisors (9689456914918).

21801232534041 is an frugal number, since it uses more digits than its factorization.

21801232534041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112792 (or 1556396 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 21801232534041 by its sum of digits (36), we get a square (784844371225476 = 28015074²).

Adding to 21801232534041 its reverse (14043523210812), we get a palindrome (35844755744853).

The spelling of 21801232534041 in words is "twenty-one trillion, eight hundred one billion, two hundred thirty-two million, five hundred thirty-four thousand, forty-one".