12959488805041 has 3 divisors (see below), whose sum is σ = 12959492404971. Its totient is φ = 12959485205112.

The previous prime is 12959488805009. The next prime is 12959488805071. The reversal of 12959488805041 is 14050888495921.

The square root of 12959488805041 is 3599929.

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

12959488805041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 9854731441 + 12949634073600 = 99271^2 + 3598560^2 .

It is not a de Polignac number, because 12959488805041 - 2⁵ = 12959488805009 is a prime.

It is a super-2 number, since 2×12959488805041² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12959488805071) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1799965 + ... + 5399893.

It is an arithmetic number, because the mean of its divisors is an integer number (4319830801657).

Almost surely, 2^{12959488805041} is an apocalyptic number.

12959488805041 is the 3599929-th square number.

12959488805041 is the 1799965-th centered octagonal number.

It is an amenable number.

12959488805041 is a deficient number, since it is larger than the sum of its proper divisors (3599930).

12959488805041 is an frugal number, since it uses more digits than its factorization.

12959488805041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199858 (or 3599929 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 64.

Multiplying 12959488805041 by its sum of digits (64), we get a square (829407283522624 = 28799432²).

The spelling of 12959488805041 in words is "twelve trillion, nine hundred fifty-nine billion, four hundred eighty-eight million, eight hundred five thousand, forty-one".