13409504286201 has 81 divisors (see below), whose sum is σ = 20557488779919. Its totient is φ = 8422250519232.

The previous prime is 13409504286179. The next prime is 13409504286223. The reversal of 13409504286201 is 10268240590431.

The square root of 13409504286201 is 3661899.

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

13409504286201 is a `hidden beast` number, since 1 + 3 + 40 + 9 + 504 + 2 + 86 + 20 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13409504286179) and next prime (13409504286223).

It can be written as a sum of positive squares in only one way, i.e., 7611887871225 + 5797616414976 = 2758965^2 + 2407824^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13409504286201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13409504286281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18444984900 + ... + 18444985626.

Almost surely, 2^{13409504286201} is an apocalyptic number.

13409504286201 is the 3661899-th square number.

13409504286201 is the 1830950-th centered octagonal number.

It is an amenable number.

13409504286201 is a deficient number, since it is larger than the sum of its proper divisors (7147984493718).

13409504286201 is an frugal number, since it uses more digits than its factorization.

13409504286201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13409504286201 in words is "thirteen trillion, four hundred nine billion, five hundred four million, two hundred eighty-six thousand, two hundred one".