20117037457513 has 2 divisors, whose sum is σ = 20117037457514. Its totient is φ = 20117037457512.

The previous prime is 20117037457499. The next prime is 20117037457607. The reversal of 20117037457513 is 31575473071102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12737382688809 + 7379654768704 = 3568947^2 + 2716552^2 .

It is a cyclic number.

It is not a de Polignac number, because 20117037457513 - 2⁴¹ = 17918014201961 is a prime.

It is a super-2 number, since 2×20117037457513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20117337457513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10058518728756 + 10058518728757.

It is an arithmetic number, because the mean of its divisors is an integer number (10058518728757).

Almost surely, 2^{20117037457513} is an apocalyptic number.

It is an amenable number.

20117037457513 is a deficient number, since it is larger than the sum of its proper divisors (1).

20117037457513 is an equidigital number, since it uses as much as digits as its factorization.

20117037457513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 617400, while the sum is 46.

The spelling of 20117037457513 in words is "twenty trillion, one hundred seventeen billion, thirty-seven million, four hundred fifty-seven thousand, five hundred thirteen".