13206836241 has 25 divisors (see below), whose sum is σ = 19904880061. Its totient is φ = 8726641056.

The previous prime is 13206836239. The next prime is 13206836249. The reversal of 13206836241 is 14263860231.

The square root of 13206836241 is 114921.

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

13206836241 is a `hidden beast` number, since 1 + 3 + 20 + 6 + 8 + 3 + 624 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12292378641 + 914457600 = 110871^2 + 30240^2 .

It is not a de Polignac number, because 13206836241 - 2¹ = 13206836239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13206836196 and 13206836205.

It is not an unprimeable number, because it can be changed into a prime (13206836249) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 116874601 + ... + 116874713.

Almost surely, 2^13206836241 is an apocalyptic number.

13206836241 is the 114921-st square number.

13206836241 is the 57461-st centered octagonal number.

It is an amenable number.

13206836241 is a deficient number, since it is larger than the sum of its proper divisors (6698043820).

13206836241 is an frugal number, since it uses more digits than its factorization.

13206836241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 13206836241 by its sum of digits (36), we get a square (475446104676 = 689526²).

The spelling of 13206836241 in words is "thirteen billion, two hundred six million, eight hundred thirty-six thousand, two hundred forty-one".