13138225359561 has 81 divisors (see below), whose sum is σ = 20012631511509. Its totient is φ = 8624740400064.

The previous prime is 13138225359499. The next prime is 13138225359601. The reversal of 13138225359561 is 16595352283131.

The square root of 13138225359561 is 3624669.

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

13138225359561 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 8 + 2 + 25 + 3 + 59 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4944090107961 + 8194135251600 = 2223531^2 + 2862540^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 13138225359561 - 2¹⁷ = 13138225228489 is a prime.

It is a super-2 number, since 2×13138225359561² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13138225359498 and 13138225359507.

It is not an unprimeable number, because it can be changed into a prime (13138225359361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21432667491 + ... + 21432668103.

Almost surely, 2^{13138225359561} is an apocalyptic number.

13138225359561 is the 3624669-th square number.

13138225359561 is the 1812335-th centered octagonal number.

It is an amenable number.

13138225359561 is a deficient number, since it is larger than the sum of its proper divisors (6874406151948).

13138225359561 is an frugal number, since it uses more digits than its factorization.

13138225359561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 689 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 13138225359561 in words is "thirteen trillion, one hundred thirty-eight billion, two hundred twenty-five million, three hundred fifty-nine thousand, five hundred sixty-one".