6516008120 has 64 divisors (see below), whose sum is σ = 14857603200. Its totient is φ = 2571687040.

The previous prime is 6516008117. The next prime is 6516008129. The reversal of 6516008120 is 218006156.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6516008129) 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 15 ways as a sum of consecutive naturals, for example, 934487 + ... + 941433.

It is an arithmetic number, because the mean of its divisors is an integer number (232150050).

Almost surely, 2^6516008120 is an apocalyptic number.

It is an amenable number.

6516008120 is an abundant number, since it is smaller than the sum of its proper divisors (8341595080).

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

6516008120 is a wasteful number, since it uses less digits than its factorization.

6516008120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7268 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 6516008120 is about 80721.7945786638. The cubic root of 6516008120 is about 1867.7863861671.

The spelling of 6516008120 in words is "six billion, five hundred sixteen million, eight thousand, one hundred twenty".