13538727609001 has 27 divisors (see below), whose sum is σ = 15916105232919. Its totient is φ = 11482868976768.

The previous prime is 13538727608999. The next prime is 13538727609109. The reversal of 13538727609001 is 10090672783531.

The square root of 13538727609001 is 3679501.

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., 6079405266025 + 7459322342976 = 2465645^2 + 2731176^2 .

It is not a de Polignac number, because 13538727609001 - 2¹ = 13538727608999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13538727609001.

It is not an unprimeable number, because it can be changed into a prime (13538727609301) 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, 2498378470 + ... + 2498383888.

It is an arithmetic number, because the mean of its divisors is an integer number (589485378997).

Almost surely, 2^{13538727609001} is an apocalyptic number.

13538727609001 is the 3679501-st square number.

13538727609001 is the 1839751-st centered octagonal number.

It is an amenable number.

13538727609001 is a deficient number, since it is larger than the sum of its proper divisors (2377377623918).

13538727609001 is an frugal number, since it uses more digits than its factorization.

13538727609001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11046 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 13538727609001 in words is "thirteen trillion, five hundred thirty-eight billion, seven hundred twenty-seven million, six hundred nine thousand, one".