13542701761681 has 27 divisors (see below), whose sum is σ = 14867361643323. Its totient is φ = 12333142205760.

The previous prime is 13542701761669. The next prime is 13542701761733. The reversal of 13542701761681 is 18616710724531.

The square root of 13542701761681 is 3680041.

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., 10543625939025 + 2999075822656 = 3247095^2 + 1731784^2 .

It is not a de Polignac number, because 13542701761681 - 2¹¹ = 13542701759633 is a prime.

It is a super-2 number, since 2×13542701761681² (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 (13542701761481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1939378116 + ... + 1939385098.

Almost surely, 2^{13542701761681} is an apocalyptic number.

13542701761681 is the 3680041-st square number.

13542701761681 is the 1840021-st centered octagonal number.

It is an amenable number.

13542701761681 is a deficient number, since it is larger than the sum of its proper divisors (1324659881642).

13542701761681 is an frugal number, since it uses more digits than its factorization.

13542701761681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14062 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 13542701761681 in words is "thirteen trillion, five hundred forty-two billion, seven hundred one million, seven hundred sixty-one thousand, six hundred eighty-one".