516042024 has 64 divisors (see below), whose sum is σ = 1306368000. Its totient is φ = 169861824.

The previous prime is 516042019. The next prime is 516042073. The reversal of 516042024 is 420240615.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 516041985 and 516042003.

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, 797269 + ... + 797915.

It is an arithmetic number, because the mean of its divisors is an integer number (20412000).

Almost surely, 2^516042024 is an apocalyptic number.

It is an amenable number.

516042024 is an abundant number, since it is smaller than the sum of its proper divisors (790325976).

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

516042024 is a wasteful number, since it uses less digits than its factorization.

516042024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 516042024 is about 22716.5583660906. The cubic root of 516042024 is about 802.0997050603.

Adding to 516042024 its reverse (420240615), we get a palindrome (936282639).

It can be divided in two parts, 51604 and 2024, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 516042024 in words is "five hundred sixteen million, forty-two thousand, twenty-four".