13893577853281 has 81 divisors (see below), whose sum is σ = 16977802367673. Its totient is φ = 11336094443520.

The previous prime is 13893577853269. The next prime is 13893577853299. The reversal of 13893577853281 is 18235877539831.

The square root of 13893577853281 is 3727409.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4462635125025 + 9430942728256 = 2112495^2 + 3070984^2 .

It is not a de Polignac number, because 13893577853281 - 2⁵ = 13893577853249 is a prime.

It is a super-2 number, since 2×13893577853281² (a number of 27 digits) contains 22 as substring.

Its product of digits (304819200) is a multiple of the sum of its prime divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 13893577853281.

It is not an unprimeable number, because it can be changed into a prime (13893577853201) 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, 71987449921 + ... + 71987450113.

Almost surely, 2^{13893577853281} is an apocalyptic number.

13893577853281 is the 3727409-th square number.

13893577853281 is the 1863705-th centered octagonal number.

It is an amenable number.

13893577853281 is a deficient number, since it is larger than the sum of its proper divisors (3084224514392).

13893577853281 is an frugal number, since it uses more digits than its factorization.

13893577853281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 70.

The spelling of 13893577853281 in words is "thirteen trillion, eight hundred ninety-three billion, five hundred seventy-seven million, eight hundred fifty-three thousand, two hundred eighty-one".