114006001517 has 2 divisors, whose sum is σ = 114006001518. Its totient is φ = 114006001516.

The previous prime is 114006001451. The next prime is 114006001519. The reversal of 114006001517 is 715100600411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107124635401 + 6881366116 = 327299^2 + 82954^2 .

It is an emirp because it is prime and its reverse (715100600411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114006001517 - 2¹⁸ = 114005739373 is a prime.

It is a super-3 number, since 3×114006001517³ (a number of 34 digits) contains 333 as substring.

Together with 114006001519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114006001519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57003000758 + 57003000759.

It is an arithmetic number, because the mean of its divisors is an integer number (57003000759).

Almost surely, 2^114006001517 is an apocalyptic number.

It is an amenable number.

114006001517 is a deficient number, since it is larger than the sum of its proper divisors (1).

114006001517 is an equidigital number, since it uses as much as digits as its factorization.

114006001517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 114006001517 its reverse (715100600411), we get a palindrome (829106601928).

The spelling of 114006001517 in words is "one hundred fourteen billion, six million, one thousand, five hundred seventeen".