11517534209201 has 2 divisors, whose sum is σ = 11517534209202. Its totient is φ = 11517534209200.

The previous prime is 11517534209101. The next prime is 11517534209213. The reversal of 11517534209201 is 10290243571511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7162795795600 + 4354738413601 = 2676340^2 + 2086801^2 .

It is a cyclic number.

It is not a de Polignac number, because 11517534209201 - 2¹⁴ = 11517534192817 is a prime.

It is not a weakly prime, because it can be changed into another prime (11517534209221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5758767104600 + 5758767104601.

It is an arithmetic number, because the mean of its divisors is an integer number (5758767104601).

Almost surely, 2^{11517534209201} is an apocalyptic number.

It is an amenable number.

11517534209201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11517534209201 is an equidigital number, since it uses as much as digits as its factorization.

11517534209201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 11517534209201 in words is "eleven trillion, five hundred seventeen billion, five hundred thirty-four million, two hundred nine thousand, two hundred one".