516980016 has 160 divisors (see below), whose sum is σ = 1769886720. Its totient is φ = 141267456.

The previous prime is 516979999. The next prime is 516980033. The reversal of 516980016 is 610089615.

It is an interprime number because it is at equal distance from previous prime (516979999) and next prime (516980033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65836 + ... + 73268.

It is an arithmetic number, because the mean of its divisors is an integer number (11061792).

Almost surely, 2^516980016 is an apocalyptic number.

516980016 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 516980016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884943360).

516980016 is an abundant number, since it is smaller than the sum of its proper divisors (1252906704).

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

516980016 is a wasteful number, since it uses less digits than its factorization.

516980016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 516980016 is about 22737.1945499000. The cubic root of 516980016 is about 802.5853940049.

The spelling of 516980016 in words is "five hundred sixteen million, nine hundred eighty thousand, sixteen".