512051583648 has 48 divisors (see below), whose sum is σ = 1466329538016. Its totient is φ = 155167146240.

The previous prime is 512051583643. The next prime is 512051583649. The reversal of 512051583648 is 846385150215.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 512051583597 and 512051583606.

It is not an unprimeable number, because it can be changed into a prime (512051583643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 242447611 + ... + 242449722.

It is an arithmetic number, because the mean of its divisors is an integer number (30548532042).

Almost surely, 2^512051583648 is an apocalyptic number.

It is an amenable number.

512051583648 is an abundant number, since it is smaller than the sum of its proper divisors (954277954368).

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

512051583648 is a wasteful number, since it uses less digits than its factorization.

512051583648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484897357 (or 484897349 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 512051583648 in words is "five hundred twelve billion, fifty-one million, five hundred eighty-three thousand, six hundred forty-eight".