516105605065 has 16 divisors (see below), whose sum is σ = 631317790800. Its totient is φ = 404897988352.

The previous prime is 516105605051. The next prime is 516105605089. The reversal of 516105605065 is 560506501615.

It can be written as a sum of positive squares in 8 ways, for example, as 930494016 + 515175111049 = 30504^2 + 717757^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-516105605065 is a prime.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 77631 + ... + 1018939.

It is an arithmetic number, because the mean of its divisors is an integer number (39457361925).

Almost surely, 2^516105605065 is an apocalyptic number.

It is an amenable number.

516105605065 is a deficient number, since it is larger than the sum of its proper divisors (115212185735).

516105605065 is a wasteful number, since it uses less digits than its factorization.

516105605065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943436.

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 516105605065 in words is "five hundred sixteen billion, one hundred five million, six hundred five thousand, sixty-five".