512242016 has 192 divisors, whose sum is σ = 1284304896. Its totient is φ = 197683200.

The previous prime is 512242013. The next prime is 512242043. The reversal of 512242016 is 610242215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 512241982 and 512242000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512242013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3262610 + ... + 3262766.

It is an arithmetic number, because the mean of its divisors is an integer number (6689088).

Almost surely, 2^512242016 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 512242016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642152448).

512242016 is an abundant number, since it is smaller than the sum of its proper divisors (772062880).

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

512242016 is a wasteful number, since it uses less digits than its factorization.

512242016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 512242016 is about 22632.7642147397. The cubic root of 512242016 is about 800.1260301445.

The spelling of 512242016 in words is "five hundred twelve million, two hundred forty-two thousand, sixteen".