516970272 has 288 divisors, whose sum is σ = 1798941312. Its totient is φ = 126148608.

The previous prime is 516970261. The next prime is 516970283. The reversal of 516970272 is 272079615.

It is an interprime number because it is at equal distance from previous prime (516970261) and next prime (516970283).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 516970272.

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 47 ways as a sum of consecutive naturals, for example, 8762179 + ... + 8762237.

It is an arithmetic number, because the mean of its divisors is an integer number (6246324).

Almost surely, 2^516970272 is an apocalyptic number.

516970272 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 516970272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899470656).

516970272 is an abundant number, since it is smaller than the sum of its proper divisors (1281971040).

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

516970272 is a wasteful number, since it uses less digits than its factorization.

516970272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 516970272 is about 22736.9802744340. The cubic root of 516970272 is about 802.5803516171.

The spelling of 516970272 in words is "five hundred sixteen million, nine hundred seventy thousand, two hundred seventy-two".