516265120 has 48 divisors (see below), whose sum is σ = 1393918848. Its totient is φ = 177004800.

The previous prime is 516265117. The next prime is 516265133. The reversal of 516265120 is 21562615.

It is a super-2 number, since 2×516265120² = 533059348257228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 229356 + ... + 231595.

It is an arithmetic number, because the mean of its divisors is an integer number (29039976).

Almost surely, 2^516265120 is an apocalyptic number.

It is an amenable number.

516265120 is an abundant number, since it is smaller than the sum of its proper divisors (877653728).

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

516265120 is a wasteful number, since it uses less digits than its factorization.

516265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460973 (or 460965 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 516265120 is about 22721.4682624165. The cubic root of 516265120 is about 802.2152766910.

The spelling of 516265120 in words is "five hundred sixteen million, two hundred sixty-five thousand, one hundred twenty".