516563716615641 has 48 divisors (see below), whose sum is σ = 809738955043200. Its totient is φ = 328459100492160.

The previous prime is 516563716615633. The next prime is 516563716615643. The reversal of 516563716615641 is 146516617365615.

516563716615641 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 6 + 3 + 7 + 1 + 6 + 61 + 564 + 1 = 666.

It is not a de Polignac number, because 516563716615641 - 2³ = 516563716615633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516563716615643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130463580 + ... + 134364701.

It is an arithmetic number, because the mean of its divisors is an integer number (16869561563400).

Almost surely, 2^{516563716615641} is an apocalyptic number.

It is an amenable number.

516563716615641 is a deficient number, since it is larger than the sum of its proper divisors (293175238427559).

516563716615641 is a wasteful number, since it uses less digits than its factorization.

516563716615641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264828668 (or 264828656 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 516563716615641 in words is "five hundred sixteen trillion, five hundred sixty-three billion, seven hundred sixteen million, six hundred fifteen thousand, six hundred forty-one".