11517534259201 has 2 divisors, whose sum is σ = 11517534259202. Its totient is φ = 11517534259200.

The previous prime is 11517534259111. The next prime is 11517534259213. The reversal of 11517534259201 is 10295243571511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11198399652801 + 319134606400 = 3346401^2 + 564920^2 .

It is an emirp because it is prime and its reverse (10295243571511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11517534259201 - 2¹¹ = 11517534257153 is a prime.

It is not a weakly prime, because it can be changed into another prime (11517534209201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5758767129600 + 5758767129601.

It is an arithmetic number, because the mean of its divisors is an integer number (5758767129601).

Almost surely, 2^{11517534259201} is an apocalyptic number.

It is an amenable number.

11517534259201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11517534259201 is an equidigital number, since it uses as much as digits as its factorization.

11517534259201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378000, while the sum is 46.

The spelling of 11517534259201 in words is "eleven trillion, five hundred seventeen billion, five hundred thirty-four million, two hundred fifty-nine thousand, two hundred one".