516502272 has 144 divisors (see below), whose sum is σ = 1615315968. Its totient is φ = 144445440.

The previous prime is 516502243. The next prime is 516502291. The reversal of 516502272 is 272205615.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107473 + ... + 112175.

It is an arithmetic number, because the mean of its divisors is an integer number (11217472).

Almost surely, 2^516502272 is an apocalyptic number.

516502272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807657984).

516502272 is an abundant number, since it is smaller than the sum of its proper divisors (1098813696).

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

516502272 is a wasteful number, since it uses less digits than its factorization.

516502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 516502272 is about 22726.6863400717. The cubic root of 516502272 is about 802.3380933257.

Adding to 516502272 its reverse (272205615), we get a palindrome (788707887).

The spelling of 516502272 in words is "five hundred sixteen million, five hundred two thousand, two hundred seventy-two".