13745635201 has 2 divisors, whose sum is σ = 13745635202. Its totient is φ = 13745635200.

The previous prime is 13745635187. The next prime is 13745635213. The reversal of 13745635201 is 10253654731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7793358400 + 5952276801 = 88280^2 + 77151^2 .

It is an emirp because it is prime and its reverse (10253654731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13745635201 - 2¹⁹ = 13745110913 is a prime.

It is not a weakly prime, because it can be changed into another prime (13745635261) 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, 6872817600 + 6872817601.

It is an arithmetic number, because the mean of its divisors is an integer number (6872817601).

Almost surely, 2^13745635201 is an apocalyptic number.

It is an amenable number.

13745635201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13745635201 is an equidigital number, since it uses as much as digits as its factorization.

13745635201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 13745635201 in words is "thirteen billion, seven hundred forty-five million, six hundred thirty-five thousand, two hundred one".