482816522500 has 135 divisors (see below), whose sum is σ = 1144358306091. Its totient is φ = 178103952000.

The previous prime is 482816522477. The next prime is 482816522527. The reversal of 482816522500 is 5225618284.

The square root of 482816522500 is 694850.

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

It can be written as a sum of positive squares in 22 ways, for example, as 279191764996 + 203624757504 = 528386^2 + 451248^2 .

It is a super-2 number, since 2×482816522500² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 451651966 + ... + 451653034.

Almost surely, 2^482816522500 is an apocalyptic number.

482816522500 is the 694850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482816522500

482816522500 is an abundant number, since it is smaller than the sum of its proper divisors (661541783591).

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

482816522500 is an equidigital number, since it uses as much as digits as its factorization.

482816522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 482816522500 in words is "four hundred eighty-two billion, eight hundred sixteen million, five hundred twenty-two thousand, five hundred".