512065152 has 192 divisors, whose sum is σ = 1552692960. Its totient is φ = 167961600.

The previous prime is 512065129. The next prime is 512065159. The reversal of 512065152 is 251560215.

512065152 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 651 + 5 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (512065159) 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, 3141423 + ... + 3141585.

Almost surely, 2^512065152 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 512065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776346480).

512065152 is an abundant number, since it is smaller than the sum of its proper divisors (1040627808).

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

512065152 is a wasteful number, since it uses less digits than its factorization.

512065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 512065152 is about 22628.8566215794. The cubic root of 512065152 is about 800.0339318941.

The spelling of 512065152 in words is "five hundred twelve million, sixty-five thousand, one hundred fifty-two".