512055648 has 96 divisors (see below), whose sum is σ = 1608415200. Its totient is φ = 157552128.

The previous prime is 512055641. The next prime is 512055659. The reversal of 512055648 is 846550215.

512055648 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 5 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512055641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11563 + ... + 34026.

It is an arithmetic number, because the mean of its divisors is an integer number (16754325).

Almost surely, 2^512055648 is an apocalyptic number.

It is an amenable number.

512055648 is an abundant number, since it is smaller than the sum of its proper divisors (1096359552).

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

512055648 is a wasteful number, since it uses less digits than its factorization.

512055648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45621 (or 45607 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 512055648 is about 22628.6466232517. The cubic root of 512055648 is about 800.0289822834.

The spelling of 512055648 in words is "five hundred twelve million, fifty-five thousand, six hundred forty-eight".