516111606101 has 24 divisors (see below), whose sum is σ = 638884388160. Its totient is φ = 408237014016.

The previous prime is 516111605993. The next prime is 516111606107. The reversal of 516111606101 is 101606111615.

It is a happy number.

It is not a de Polignac number, because 516111606101 - 2³⁰ = 515037864277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516111606107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4268981 + ... + 4388213.

It is an arithmetic number, because the mean of its divisors is an integer number (26620182840).

Almost surely, 2^516111606101 is an apocalyptic number.

It is an amenable number.

516111606101 is a deficient number, since it is larger than the sum of its proper divisors (122772782059).

516111606101 is a wasteful number, since it uses less digits than its factorization.

516111606101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122925 (or 122912 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 29.

Adding to 516111606101 its reverse (101606111615), we get a palindrome (617717717716).

The spelling of 516111606101 in words is "five hundred sixteen billion, one hundred eleven million, six hundred six thousand, one hundred one".