516225056 has 48 divisors (see below), whose sum is σ = 1057976640. Its totient is φ = 247645440.

The previous prime is 516225053. The next prime is 516225097. The reversal of 516225056 is 650522615.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (516225053) 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 7 ways as a sum of consecutive naturals, for example, 153311 + ... + 156641.

It is an arithmetic number, because the mean of its divisors is an integer number (22041180).

Almost surely, 2^516225056 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 516225056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528988320).

516225056 is an abundant number, since it is smaller than the sum of its proper divisors (541751584).

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

516225056 is a wasteful number, since it uses less digits than its factorization.

516225056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 516225056 is about 22720.5866121454. The cubic root of 516225056 is about 802.1945245728.

The spelling of 516225056 in words is "five hundred sixteen million, two hundred twenty-five thousand, fifty-six".