512525125728 has 288 divisors, whose sum is σ = 1884438017280. Its totient is φ = 133123253760.

The previous prime is 512525125703. The next prime is 512525125729. The reversal of 512525125728 is 827521525215.

512525125728 is a `hidden beast` number, since 5 + 1 + 25 + 2 + 51 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512525125729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170758 + ... + 1026746.

It is an arithmetic number, because the mean of its divisors is an integer number (6543187560).

Almost surely, 2^512525125728 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 512525125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942219008640).

512525125728 is an abundant number, since it is smaller than the sum of its proper divisors (1371912891552).

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

512525125728 is a wasteful number, since it uses less digits than its factorization.

512525125728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856032 (or 856012 counting only the distinct ones).

The product of its digits is 560000, while the sum is 45.

The spelling of 512525125728 in words is "five hundred twelve billion, five hundred twenty-five million, one hundred twenty-five thousand, seven hundred twenty-eight".