512608352256 has 1680 divisors, whose sum is σ = 2106184724280. Its totient is φ = 122903101440.

The previous prime is 512608352231. The next prime is 512608352261. The reversal of 512608352256 is 652253806215.

512608352256 is a `hidden beast` number, since 5 + 1 + 2 + 608 + 35 + 2 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×512608352256² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 39431411706 + ... + 39431411718.

Almost surely, 2^512608352256 is an apocalyptic number.

512608352256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512608352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053092362140).

512608352256 is an abundant number, since it is smaller than the sum of its proper divisors (1593576372024).

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

512608352256 is an frugal number, since it uses more digits than its factorization.

512608352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 512608352256 in words is "five hundred twelve billion, six hundred eight million, three hundred fifty-two thousand, two hundred fifty-six".