21713279382001 has 9 divisors (see below), whose sum is σ = 23065747714891. Its totient is φ = 20435953097632.

The previous prime is 21713279381977. The next prime is 21713279382043. The reversal of 21713279382001 is 10028397231712.

The square root of 21713279382001 is 4659751.

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., 16904802287025 + 4808477094976 = 4111545^2 + 2192824^2 .

It is not a de Polignac number, because 21713279382001 - 2¹⁵ = 21713279349233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21713279382101) 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, 79078716 + ... + 79352818.

Almost surely, 2^{21713279382001} is an apocalyptic number.

21713279382001 is the 4659751-st square number.

21713279382001 is the 2329876-th centered octagonal number.

It is an amenable number.

21713279382001 is a deficient number, since it is larger than the sum of its proper divisors (1352468332890).

21713279382001 is an frugal number, since it uses more digits than its factorization.

21713279382001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548240 (or 274120 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 21713279382001 in words is "twenty-one trillion, seven hundred thirteen billion, two hundred seventy-nine million, three hundred eighty-two thousand, one".