10244577413593 has 2 divisors, whose sum is σ = 10244577413594. Its totient is φ = 10244577413592.

The previous prime is 10244577413591. The next prime is 10244577413599. The reversal of 10244577413593 is 39531477544201.

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., 9924434194249 + 320143219344 = 3150307^2 + 565812^2 .

It is an emirp because it is prime and its reverse (39531477544201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10244577413593 - 2¹ = 10244577413591 is a prime.

Together with 10244577413591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10244577413591) 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, 5122288706796 + 5122288706797.

It is an arithmetic number, because the mean of its divisors is an integer number (5122288706797).

Almost surely, 2^{10244577413593} is an apocalyptic number.

It is an amenable number.

10244577413593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10244577413593 is an equidigital number, since it uses as much as digits as its factorization.

10244577413593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 10244577413593 in words is "ten trillion, two hundred forty-four billion, five hundred seventy-seven million, four hundred thirteen thousand, five hundred ninety-three".