512213120 has 32 divisors (see below), whose sum is σ = 1224511020. Its totient is φ = 204884992.

The previous prime is 512213113. The next prime is 512213137. The reversal of 512213120 is 21312215.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 416486464 + 95726656 = 20408^2 + 9784^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 399527 + ... + 400806.

Almost surely, 2^512213120 is an apocalyptic number.

It is an amenable number.

512213120 is an abundant number, since it is smaller than the sum of its proper divisors (712297900).

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

512213120 is an equidigital number, since it uses as much as digits as its factorization.

512213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800352 (or 800340 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 512213120 is about 22632.1258391694. The cubic root of 512213120 is about 800.1109846023.

Adding to 512213120 its reverse (21312215), we get a palindrome (533525335).

The spelling of 512213120 in words is "five hundred twelve million, two hundred thirteen thousand, one hundred twenty".