34503805511993 has 2 divisors, whose sum is σ = 34503805511994. Its totient is φ = 34503805511992.

The previous prime is 34503805511941. The next prime is 34503805512037. The reversal of 34503805511993 is 39911550830543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19167120412729 + 15336685099264 = 4378027^2 + 3916208^2 .

It is a cyclic number.

It is not a de Polignac number, because 34503805511993 - 2¹⁴ = 34503805495609 is a prime.

It is not a weakly prime, because it can be changed into another prime (34503805513993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17251902755996 + 17251902755997.

It is an arithmetic number, because the mean of its divisors is an integer number (17251902755997).

Almost surely, 2^{34503805511993} is an apocalyptic number.

It is an amenable number.

34503805511993 is a deficient number, since it is larger than the sum of its proper divisors (1).

34503805511993 is an equidigital number, since it uses as much as digits as its factorization.

34503805511993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748000, while the sum is 56.

The spelling of 34503805511993 in words is "thirty-four trillion, five hundred three billion, eight hundred five million, five hundred eleven thousand, nine hundred ninety-three".