516651516561 has 32 divisors (see below), whose sum is σ = 702661599360. Its totient is φ = 337606191104.

The previous prime is 516651516551. The next prime is 516651516613. The reversal of 516651516561 is 165615156615.

It is a cyclic number.

It is not a de Polignac number, because 516651516561 - 2⁵ = 516651516529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 516651516561.

It is not an unprimeable number, because it can be changed into a prime (516651516551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81629245 + ... + 81635573.

It is an arithmetic number, because the mean of its divisors is an integer number (21958174980).

Almost surely, 2^516651516561 is an apocalyptic number.

It is an amenable number.

516651516561 is a deficient number, since it is larger than the sum of its proper divisors (186010082799).

516651516561 is a wasteful number, since it uses less digits than its factorization.

516651516561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945.

The product of its digits is 810000, while the sum is 48.

The spelling of 516651516561 in words is "five hundred sixteen billion, six hundred fifty-one million, five hundred sixteen thousand, five hundred sixty-one".