13672132049 has 2 divisors, whose sum is σ = 13672132050. Its totient is φ = 13672132048.

The previous prime is 13672131973. The next prime is 13672132051. The reversal of 13672132049 is 94023127631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9702250000 + 3969882049 = 98500^2 + 63007^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13672132049 is a prime.

Together with 13672132051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13672132349) 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 as a sum of consecutive naturals, namely, 6836066024 + 6836066025.

It is an arithmetic number, because the mean of its divisors is an integer number (6836066025).

Almost surely, 2^13672132049 is an apocalyptic number.

It is an amenable number.

13672132049 is a deficient number, since it is larger than the sum of its proper divisors (1).

13672132049 is an equidigital number, since it uses as much as digits as its factorization.

13672132049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 13672132049 in words is "thirteen billion, six hundred seventy-two million, one hundred thirty-two thousand, forty-nine".