13072555721249 has 2 divisors, whose sum is σ = 13072555721250. Its totient is φ = 13072555721248.

The previous prime is 13072555721243. The next prime is 13072555721287. The reversal of 13072555721249 is 94212755527031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13019157754849 + 53397966400 = 3608207^2 + 231080^2 .

It is a cyclic number.

It is not a de Polignac number, because 13072555721249 - 2²⁴ = 13072538944033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13072555721249.

It is not a weakly prime, because it can be changed into another prime (13072555721243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6536277860624 + 6536277860625.

It is an arithmetic number, because the mean of its divisors is an integer number (6536277860625).

Almost surely, 2^{13072555721249} is an apocalyptic number.

It is an amenable number.

13072555721249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13072555721249 is an equidigital number, since it uses as much as digits as its factorization.

13072555721249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292000, while the sum is 53.

The spelling of 13072555721249 in words is "thirteen trillion, seventy-two billion, five hundred fifty-five million, seven hundred twenty-one thousand, two hundred forty-nine".