512727602500 has 45 divisors (see below), whose sum is σ = 1121311019521. Its totient is φ = 205076720000.

The previous prime is 512727602477. The next prime is 512727602507. The reversal of 512727602500 is 5206727215.

The square root of 512727602500 is 716050.

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 496762774596 + 15964827904 = 704814^2 + 126352^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 512727602500.

It is not an unprimeable number, because it can be changed into a prime (512727602507) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 35795340 + ... + 35809660.

Almost surely, 2^512727602500 is an apocalyptic number.

512727602500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

512727602500 is the 716050-th square number.

It is an amenable number.

512727602500 is an abundant number, since it is smaller than the sum of its proper divisors (608583417021).

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

512727602500 is an frugal number, since it uses more digits than its factorization.

512727602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28666 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 512727602500 in words is "five hundred twelve billion, seven hundred twenty-seven million, six hundred two thousand, five hundred".