13743580409 has 12 divisors (see below), whose sum is σ = 14892777900. Its totient is φ = 12677281344.

The previous prime is 13743580391. The next prime is 13743580429. The reversal of 13743580409 is 90408534731.

It can be written as a sum of positive squares in 6 ways, for example, as 7019088400 + 6724492009 = 83780^2 + 82003^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13743580409 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13743580409.

It is not an unprimeable number, because it can be changed into a prime (13743580429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213047 + ... + 269955.

It is an arithmetic number, because the mean of its divisors is an integer number (1241064825).

Almost surely, 2^13743580409 is an apocalyptic number.

It is an amenable number.

13743580409 is a deficient number, since it is larger than the sum of its proper divisors (1149197491).

13743580409 is a wasteful number, since it uses less digits than its factorization.

13743580409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58364 (or 58351 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 13743580409 in words is "thirteen billion, seven hundred forty-three million, five hundred eighty thousand, four hundred nine".