13981580572961 has 8 divisors (see below), whose sum is σ = 14478914868264. Its totient is φ = 13492895569920.

The previous prime is 13981580572933. The next prime is 13981580573057. The reversal of 13981580572961 is 16927508518931.

13981580572961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104018505361 + 13877562067600 = 322519^2 + 3725260^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13981580572961 - 2²⁶ = 13981513464097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13981580572931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2162319776 + ... + 2162326241.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864358533).

Almost surely, 2^{13981580572961} is an apocalyptic number.

It is an amenable number.

13981580572961 is a deficient number, since it is larger than the sum of its proper divisors (497334295303).

13981580572961 is an equidigital number, since it uses as much as digits as its factorization.

13981580572961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324646131.

The product of its (nonzero) digits is 32659200, while the sum is 65.

The spelling of 13981580572961 in words is "thirteen trillion, nine hundred eighty-one billion, five hundred eighty million, five hundred seventy-two thousand, nine hundred sixty-one".