11200567171217 has 2 divisors, whose sum is σ = 11200567171218. Its totient is φ = 11200567171216.

The previous prime is 11200567171193. The next prime is 11200567171331. The reversal of 11200567171217 is 71217176500211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11093902224001 + 106664947216 = 3330751^2 + 326596^2 .

It is a cyclic number.

It is not a de Polignac number, because 11200567171217 - 2¹⁰ = 11200567170193 is a prime.

It is a super-2 number, since 2×11200567171217² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11200567171817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600283585608 + 5600283585609.

It is an arithmetic number, because the mean of its divisors is an integer number (5600283585609).

Almost surely, 2^{11200567171217} is an apocalyptic number.

It is an amenable number.

11200567171217 is a deficient number, since it is larger than the sum of its proper divisors (1).

11200567171217 is an equidigital number, since it uses as much as digits as its factorization.

11200567171217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41160, while the sum is 41.

The spelling of 11200567171217 in words is "eleven trillion, two hundred billion, five hundred sixty-seven million, one hundred seventy-one thousand, two hundred seventeen".