516052583424 has 297 divisors, whose sum is σ = 1734993744237. Its totient is φ = 147305668608.

The previous prime is 516052583407. The next prime is 516052583443. The reversal of 516052583424 is 424385250615.

The square root of 516052583424 is 718368.

It is a perfect power (a square), and thus also a powerful number.

516052583424 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 525 + 83 + 42 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 241308877824 + 274743705600 = 491232^2 + 524160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 516052583424.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 482742762 + ... + 482743830.

Almost surely, 2^516052583424 is an apocalyptic number.

516052583424 is the 718368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516052583424

516052583424 is an abundant number, since it is smaller than the sum of its proper divisors (1218941160813).

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

516052583424 is an equidigital number, since it uses as much as digits as its factorization.

516052583424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 516052583424 in words is "five hundred sixteen billion, fifty-two million, five hundred eighty-three thousand, four hundred twenty-four".