516501120 has 128 divisors (see below), whose sum is σ = 1653085440. Its totient is φ = 137170944.

The previous prime is 516501113. The next prime is 516501143. The reversal of 516501120 is 21105615.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×516501120² = 533546813922508800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 704274 + ... + 705006.

It is an arithmetic number, because the mean of its divisors is an integer number (12914730).

Almost surely, 2^516501120 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 516501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826542720).

516501120 is an abundant number, since it is smaller than the sum of its proper divisors (1136584320).

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

516501120 is a wasteful number, since it uses less digits than its factorization.

516501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 516501120 is about 22726.6609954036. The cubic root of 516501120 is about 802.3374968171.

Adding to 516501120 its reverse (21105615), we get a palindrome (537606735).

The spelling of 516501120 in words is "five hundred sixteen million, five hundred one thousand, one hundred twenty".