516564891 has 32 divisors (see below), whose sum is σ = 785438720. Its totient is φ = 335355552.

The previous prime is 516564869. The next prime is 516564899. The reversal of 516564891 is 198465615.

516564891 is a `hidden beast` number, since 5 + 1 + 6 + 564 + 89 + 1 = 666.

It is not a de Polignac number, because 516564891 - 2⁹ = 516564379 is a prime.

It is a super-2 number, since 2×516564891² = 533678573227683762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516564899) 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 31 ways as a sum of consecutive naturals, for example, 704361 + ... + 705093.

It is an arithmetic number, because the mean of its divisors is an integer number (24544960).

Almost surely, 2^516564891 is an apocalyptic number.

516564891 is a deficient number, since it is larger than the sum of its proper divisors (268873829).

516564891 is a wasteful number, since it uses less digits than its factorization.

516564891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1386 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 516564891 is about 22728.0639518636. The cubic root of 516564891 is about 802.3705162737.

The spelling of 516564891 in words is "five hundred sixteen million, five hundred sixty-four thousand, eight hundred ninety-one".