13256742642361 has 27 divisors (see below), whose sum is σ = 13913613126063. Its totient is φ = 12630417449760.

The previous prime is 13256742642161. The next prime is 13256742642379. The reversal of 13256742642361 is 16324624765231.

The square root of 13256742642361 is 3640981.

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., 375419671225 + 12881322971136 = 612715^2 + 3589056^2 .

It is not a de Polignac number, because 13256742642361 - 2¹¹ = 13256742640313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13256742642299 and 13256742642308.

It is not an unprimeable number, because it can be changed into a prime (13256742642161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7562316661 + ... + 7562318413.

It is an arithmetic number, because the mean of its divisors is an integer number (515319004669).

Almost surely, 2^{13256742642361} is an apocalyptic number.

13256742642361 is the 3640981-st square number.

13256742642361 is the 1820491-st centered octagonal number.

It is an amenable number.

13256742642361 is a deficient number, since it is larger than the sum of its proper divisors (656870483702).

13256742642361 is an frugal number, since it uses more digits than its factorization.

13256742642361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 1851 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 52.

The spelling of 13256742642361 in words is "thirteen trillion, two hundred fifty-six billion, seven hundred forty-two million, six hundred forty-two thousand, three hundred sixty-one".