13549385540601 has 9 divisors (see below), whose sum is σ = 19571350620549. Its totient is φ = 9032916331836.

The previous prime is 13549385540539. The next prime is 13549385540627. The reversal of 13549385540601 is 10604558394531.

The square root of 13549385540601 is 3680949.

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

13549385540601 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 9 + 38 + 5 + 540 + 60 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-13549385540601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13549385540651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10429356 + ... + 11656338.

Almost surely, 2^{13549385540601} is an apocalyptic number.

13549385540601 is the 3680949-th square number.

13549385540601 is the 1840475-th centered octagonal number.

It is an amenable number.

13549385540601 is a deficient number, since it is larger than the sum of its proper divisors (6021965079948).

13549385540601 is an frugal number, since it uses more digits than its factorization.

13549385540601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453972 (or 1226986 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 13549385540601 in words is "thirteen trillion, five hundred forty-nine billion, three hundred eighty-five million, five hundred forty thousand, six hundred one".