13518189070681 has 27 divisors (see below), whose sum is σ = 15157060266591. Its totient is φ = 12052310929344.

The previous prime is 13518189070669. The next prime is 13518189070691. The reversal of 13518189070681 is 18607098181531.

The square root of 13518189070681 is 3676709.

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., 10524541664025 + 2993647406656 = 3244155^2 + 1730216^2 .

It is not a de Polignac number, because 13518189070681 - 2¹¹ = 13518189068633 is a prime.

It is a super-2 number, since 2×13518189070681² (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 (13518189070601) 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, 1187571316 + ... + 1187582698.

Almost surely, 2^{13518189070681} is an apocalyptic number.

13518189070681 is the 3676709-th square number.

13518189070681 is the 1838355-th centered octagonal number.

It is an amenable number.

13518189070681 is a deficient number, since it is larger than the sum of its proper divisors (1638871195910).

13518189070681 is an frugal number, since it uses more digits than its factorization.

13518189070681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22838 (or 11419 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 58.

The spelling of 13518189070681 in words is "thirteen trillion, five hundred eighteen billion, one hundred eighty-nine million, seventy thousand, six hundred eighty-one".