512212608 has 192 divisors, whose sum is σ = 1546407720. Its totient is φ = 162570240.

The previous prime is 512212607. The next prime is 512212609. The reversal of 512212608 is 806212215.

It is a happy number.

512212608 is a `hidden beast` number, since 51 + 2 + 2 + 1 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (512212607) and next prime (512212609).

It can be written as a sum of positive squares in 4 ways, for example, as 501401664 + 10810944 = 22392^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (512212607) 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, 2599966 + ... + 2600162.

Almost surely, 2^512212608 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 512212608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773203860).

512212608 is an abundant number, since it is smaller than the sum of its proper divisors (1034195112).

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

512212608 is a wasteful number, since it uses less digits than its factorization.

512212608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 512212608 is about 22632.1145278120. The cubic root of 512212608 is about 800.1107180095.

The spelling of 512212608 in words is "five hundred twelve million, two hundred twelve thousand, six hundred eight".