2164111633517 has 2 divisors, whose sum is σ = 2164111633518. Its totient is φ = 2164111633516.

The previous prime is 2164111633513. The next prime is 2164111633549. The reversal of 2164111633517 is 7153361114612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1510979349961 + 653132283556 = 1229219^2 + 808166^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164111633517 - 2² = 2164111633513 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2164111633513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1082055816758 + 1082055816759.

It is an arithmetic number, because the mean of its divisors is an integer number (1082055816759).

Almost surely, 2^{2164111633517} is an apocalyptic number.

It is an amenable number.

2164111633517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164111633517 is an equidigital number, since it uses as much as digits as its factorization.

2164111633517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 41.

The spelling of 2164111633517 in words is "two trillion, one hundred sixty-four billion, one hundred eleven million, six hundred thirty-three thousand, five hundred seventeen".