512213600 has 36 divisors (see below), whose sum is σ = 1250443404. Its totient is φ = 204885120.

The previous prime is 512213561. The next prime is 512213623. The reversal of 512213600 is 6312215.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 319334 + ... + 320933.

It is an arithmetic number, because the mean of its divisors is an integer number (34734539).

Almost surely, 2^512213600 is an apocalyptic number.

512213600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512213600 is an abundant number, since it is smaller than the sum of its proper divisors (738229804).

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

512213600 is a wasteful number, since it uses less digits than its factorization.

512213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640287 (or 640274 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 512213600 is about 22632.1364435618. The cubic root of 512213600 is about 800.1112345329. Note that the first 3 decimals are identical.

Adding to 512213600 its reverse (6312215), we get a palindrome (518525815).

The spelling of 512213600 in words is "five hundred twelve million, two hundred thirteen thousand, six hundred".