506516890000 has 225 divisors, whose sum is σ = 1350033953191. Its totient is φ = 183903280000.

The previous prime is 506516889997. The next prime is 506516890051. The reversal of 506516890000 is 98615605.

The square root of 506516890000 is 711700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 39710924176 + 466805965824 = 199276^2 + 683232^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 782869677 + ... + 782870323.

Almost surely, 2^506516890000 is an apocalyptic number.

506516890000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506516890000 is the 711700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506516890000

506516890000 is an abundant number, since it is smaller than the sum of its proper divisors (843517063191).

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

506516890000 is an frugal number, since it uses more digits than its factorization.

506516890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 506516890000 in words is "five hundred six billion, five hundred sixteen million, eight hundred ninety thousand".