516524232 has 192 divisors, whose sum is σ = 1587916800. Its totient is φ = 136972800.

The previous prime is 516524159. The next prime is 516524233. The reversal of 516524232 is 232425615.

It is a self number, because there is not a number n which added to its sum of digits gives 516524232.

It is not an unprimeable number, because it can be changed into a prime (516524233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8754619 + ... + 8754677.

It is an arithmetic number, because the mean of its divisors is an integer number (8270400).

Almost surely, 2^516524232 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 516524232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793958400).

516524232 is an abundant number, since it is smaller than the sum of its proper divisors (1071392568).

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

516524232 is a wasteful number, since it uses less digits than its factorization.

516524232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 143 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 516524232 is about 22727.1694674018. The cubic root of 516524232 is about 802.3494641017.

Adding to 516524232 its reverse (232425615), we get a palindrome (748949847).

The spelling of 516524232 in words is "five hundred sixteen million, five hundred twenty-four thousand, two hundred thirty-two".