512010856 has 48 divisors (see below), whose sum is σ = 1121277600. Its totient is φ = 214712544.

The previous prime is 512010853. The next prime is 512010857. The reversal of 512010856 is 658010215.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (512010853) 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 11 ways as a sum of consecutive naturals, for example, 121635 + ... + 125773.

It is an arithmetic number, because the mean of its divisors is an integer number (23359950).

Almost surely, 2^512010856 is an apocalyptic number.

512010856 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 512010856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560638800).

512010856 is an abundant number, since it is smaller than the sum of its proper divisors (609266744).

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

512010856 is a wasteful number, since it uses less digits than its factorization.

512010856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 512010856 is about 22627.6568826735. The cubic root of 512010856 is about 800.0056541267.

The spelling of 512010856 in words is "five hundred twelve million, ten thousand, eight hundred fifty-six".