512033368 has 64 divisors (see below), whose sum is σ = 1203264000. Its totient is φ = 198443520.

The previous prime is 512033359. The next prime is 512033399. The reversal of 512033368 is 863330215.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 120496 + ... + 124672.

It is an arithmetic number, because the mean of its divisors is an integer number (18801000).

Almost surely, 2^512033368 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 512033368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601632000).

512033368 is an abundant number, since it is smaller than the sum of its proper divisors (691230632).

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

512033368 is a wasteful number, since it uses less digits than its factorization.

512033368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 512033368 is about 22628.1543215526. The cubic root of 512033368 is about 800.0173787891.

The spelling of 512033368 in words is "five hundred twelve million, thirty-three thousand, three hundred sixty-eight".