2111562117017 has 2 divisors, whose sum is σ = 2111562117018. Its totient is φ = 2111562117016.

The previous prime is 2111562116987. The next prime is 2111562117019. The reversal of 2111562117017 is 7107112651112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2022934445401 + 88627671616 = 1422299^2 + 297704^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111562117017 - 2¹² = 2111562112921 is a prime.

It is a super-3 number, since 3×2111562117017³ (a number of 38 digits) contains 333 as substring.

Together with 2111562117019, 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 (2111562117019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055781058508 + 1055781058509.

It is an arithmetic number, because the mean of its divisors is an integer number (1055781058509).

Almost surely, 2^{2111562117017} is an apocalyptic number.

It is an amenable number.

2111562117017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111562117017 is an equidigital number, since it uses as much as digits as its factorization.

2111562117017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 35.

Adding to 2111562117017 its reverse (7107112651112), we get a palindrome (9218674768129).

The spelling of 2111562117017 in words is "two trillion, one hundred eleven billion, five hundred sixty-two million, one hundred seventeen thousand, seventeen".