512397312 has 312 divisors, whose sum is σ = 1703203776. Its totient is φ = 136249344.

The previous prime is 512397311. The next prime is 512397343. The reversal of 512397312 is 213793215.

It is not an unprimeable number, because it can be changed into a prime (512397311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13848558 + ... + 13848594.

Almost surely, 2^512397312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851601888).

512397312 is an abundant number, since it is smaller than the sum of its proper divisors (1190806464).

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

512397312 is a wasteful number, since it uses less digits than its factorization.

512397312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 512397312 is about 22636.1947332143. The cubic root of 512397312 is about 800.2068798296.

The spelling of 512397312 in words is "five hundred twelve million, three hundred ninety-seven thousand, three hundred twelve".