516817210000 has 675 divisors, whose sum is σ = 1596336572061. Its totient is φ = 161493696000.

The previous prime is 516817209949. The next prime is 516817210003. The reversal of 516817210000 is 12718615.

The square root of 516817210000 is 718900.

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

It can be written as a sum of positive squares in 7 ways, for example, as 510475954576 + 6341255424 = 714476^2 + 79632^2 .

It is not an unprimeable number, because it can be changed into a prime (516817210003) 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 134 ways as a sum of consecutive naturals, for example, 6541989961 + ... + 6541990039.

Almost surely, 2^516817210000 is an apocalyptic number.

516817210000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

516817210000 is the 718900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516817210000

516817210000 is an abundant number, since it is smaller than the sum of its proper divisors (1079519362061).

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

516817210000 is an equidigital number, since it uses as much as digits as its factorization.

516817210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

Adding to 516817210000 its reverse (12718615), we get a palindrome (516829928615).

The spelling of 516817210000 in words is "five hundred sixteen billion, eight hundred seventeen million, two hundred ten thousand".