512255520 has 288 divisors, whose sum is σ = 2023781760. Its totient is φ = 115568640.

The previous prime is 512255503. The next prime is 512255531. The reversal of 512255520 is 25552215.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896835 + ... + 897405.

It is an arithmetic number, because the mean of its divisors is an integer number (7027020).

Almost surely, 2^512255520 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 512255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011890880).

512255520 is an abundant number, since it is smaller than the sum of its proper divisors (1511526240).

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

512255520 is a wasteful number, since it uses less digits than its factorization.

512255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 512255520 is about 22633.0625413354. The cubic root of 512255520 is about 800.1330612005.

The spelling of 512255520 in words is "five hundred twelve million, two hundred fifty-five thousand, five hundred twenty".