516558336 has 160 divisors (see below), whose sum is σ = 1590969600. Its totient is φ = 145883136.

The previous prime is 516558331. The next prime is 516558347. The reversal of 516558336 is 633855615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516558331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1150240 + ... + 1150688.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 2^516558336 is an apocalyptic number.

516558336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516558336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795484800).

516558336 is an abundant number, since it is smaller than the sum of its proper divisors (1074411264).

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

516558336 is a wasteful number, since it uses less digits than its factorization.

516558336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 516558336 is about 22727.9197464264. The cubic root of 516558336 is about 802.3671223400.

The spelling of 516558336 in words is "five hundred sixteen million, five hundred fifty-eight thousand, three hundred thirty-six".