512255016 has 480 divisors, whose sum is σ = 1929228840. Its totient is φ = 125411328.

The previous prime is 512254987. The next prime is 512255027. The reversal of 512255016 is 610552215.

It can be written as a sum of positive squares in 4 ways, for example, as 432224100 + 80030916 = 20790^2 + 8946^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 7017156 + ... + 7017228.

Almost surely, 2^512255016 is an apocalyptic number.

512255016 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 512255016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964614420).

512255016 is an abundant number, since it is smaller than the sum of its proper divisors (1416973824).

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

512255016 is a wasteful number, since it uses less digits than its factorization.

512255016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 512255016 is about 22633.0514071788. The cubic root of 512255016 is about 800.1327987877.

The spelling of 512255016 in words is "five hundred twelve million, two hundred fifty-five thousand, sixteen".