13738001873 has 2 divisors, whose sum is σ = 13738001874. Its totient is φ = 13738001872.

The previous prime is 13738001863. The next prime is 13738001923. The reversal of 13738001873 is 37810083731.

13738001873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13634532289 + 103469584 = 116767^2 + 10172^2 .

It is a cyclic number.

It is not a de Polignac number, because 13738001873 - 2⁴ = 13738001857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13738001873.

It is not a weakly prime, because it can be changed into another prime (13738001863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6869000936 + 6869000937.

It is an arithmetic number, because the mean of its divisors is an integer number (6869000937).

Almost surely, 2^13738001873 is an apocalyptic number.

It is an amenable number.

13738001873 is a deficient number, since it is larger than the sum of its proper divisors (1).

13738001873 is an equidigital number, since it uses as much as digits as its factorization.

13738001873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 13738001873 in words is "thirteen billion, seven hundred thirty-eight million, one thousand, eight hundred seventy-three".