13185638857057 has 16 divisors (see below), whose sum is σ = 14568435221760. Its totient is φ = 11870317668352.

The previous prime is 13185638857051. The next prime is 13185638857121. The reversal of 13185638857057 is 75075883658131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13185638857057 is a prime.

It is a super-3 number, since 3×13185638857057³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13185638856983 and 13185638857001.

It is not an unprimeable number, because it can be changed into a prime (13185638857051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66912369 + ... + 67109137.

It is an arithmetic number, because the mean of its divisors is an integer number (910527201360).

Almost surely, 2^{13185638857057} is an apocalyptic number.

13185638857057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13185638857057 is a deficient number, since it is larger than the sum of its proper divisors (1382796364703).

13185638857057 is a wasteful number, since it uses less digits than its factorization.

13185638857057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368192.

The product of its (nonzero) digits is 169344000, while the sum is 67.

The spelling of 13185638857057 in words is "thirteen trillion, one hundred eighty-five billion, six hundred thirty-eight million, eight hundred fifty-seven thousand, fifty-seven".