11517175295953 has 2 divisors, whose sum is σ = 11517175295954. Its totient is φ = 11517175295952.

The previous prime is 11517175295809. The next prime is 11517175296001. The reversal of 11517175295953 is 35959257171511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8800668094464 + 2716507201489 = 2966592^2 + 1648183^2 .

It is a cyclic number.

It is not a de Polignac number, because 11517175295953 - 2⁹ = 11517175295441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11517175295891 and 11517175295900.

It is not a weakly prime, because it can be changed into another prime (11517175290953) 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, 5758587647976 + 5758587647977.

It is an arithmetic number, because the mean of its divisors is an integer number (5758587647977).

Almost surely, 2^{11517175295953} is an apocalyptic number.

It is an amenable number.

11517175295953 is a deficient number, since it is larger than the sum of its proper divisors (1).

11517175295953 is an equidigital number, since it uses as much as digits as its factorization.

11517175295953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14883750, while the sum is 61.

The spelling of 11517175295953 in words is "eleven trillion, five hundred seventeen billion, one hundred seventy-five million, two hundred ninety-five thousand, nine hundred fifty-three".