11251115040017 has 2 divisors, whose sum is σ = 11251115040018. Its totient is φ = 11251115040016.

The previous prime is 11251115039929. The next prime is 11251115040019. The reversal of 11251115040017 is 71004051115211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8267010808081 + 2984104231936 = 2875241^2 + 1727456^2 .

It is a cyclic number.

It is not a de Polignac number, because 11251115040017 - 2¹⁰ = 11251115038993 is a prime.

It is a super-2 number, since 2×11251115040017² (a number of 27 digits) contains 22 as substring.

Together with 11251115040019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11251115040019) 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, 5625557520008 + 5625557520009.

It is an arithmetic number, because the mean of its divisors is an integer number (5625557520009).

Almost surely, 2^{11251115040017} is an apocalyptic number.

It is an amenable number.

11251115040017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11251115040017 is an equidigital number, since it uses as much as digits as its factorization.

11251115040017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 29.

Adding to 11251115040017 its reverse (71004051115211), we get a palindrome (82255166155228).

The spelling of 11251115040017 in words is "eleven trillion, two hundred fifty-one billion, one hundred fifteen million, forty thousand, seventeen".