516563121004667 has 16 divisors (see below), whose sum is σ = 598873581471744. Its totient is φ = 440348221584000.

The previous prime is 516563121004663. The next prime is 516563121004741. The reversal of 516563121004667 is 766400121365615.

It is a cyclic number.

It is not a de Polignac number, because 516563121004667 - 2² = 516563121004663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516563121004663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5096572259 + ... + 5096673612.

It is an arithmetic number, because the mean of its divisors is an integer number (37429598841984).

Almost surely, 2^{516563121004667} is an apocalyptic number.

516563121004667 is a deficient number, since it is larger than the sum of its proper divisors (82310460467077).

516563121004667 is a wasteful number, since it uses less digits than its factorization.

516563121004667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10193246170.

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 516563121004667 in words is "five hundred sixteen trillion, five hundred sixty-three billion, one hundred twenty-one million, four thousand, six hundred sixty-seven".