516052080 has 160 divisors (see below), whose sum is σ = 1789081920. Its totient is φ = 136719360.

The previous prime is 516052037. The next prime is 516052091. The reversal of 516052080 is 80250615.

516052080 is a `hidden beast` number, since 5 + 1 + 60 + 520 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 372990 + ... + 374370.

It is an arithmetic number, because the mean of its divisors is an integer number (11181762).

Almost surely, 2^516052080 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 516052080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894540960).

516052080 is an abundant number, since it is smaller than the sum of its proper divisors (1273029840).

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

516052080 is a wasteful number, since it uses less digits than its factorization.

516052080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 516052080 is about 22716.7797013573. The cubic root of 516052080 is about 802.1049151413.

The spelling of 516052080 in words is "five hundred sixteen million, fifty-two thousand, eighty".