516542464 has 52 divisors (see below), whose sum is σ = 1078066656. Its totient is φ = 246996992.

The previous prime is 516542447. The next prime is 516542473. The reversal of 516542464 is 464245615.

It is a super-2 number, since 2×516542464² = 533632234230382592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91467 + ... + 96949.

Almost surely, 2^516542464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539033328).

516542464 is an abundant number, since it is smaller than the sum of its proper divisors (561524192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516542464 is an equidigital number, since it uses as much as digits as its factorization.

516542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5508 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 516542464 is about 22727.5705696847. The cubic root of 516542464 is about 802.3589042934.

The spelling of 516542464 in words is "five hundred sixteen million, five hundred forty-two thousand, four hundred sixty-four".