513712272 has 80 divisors (see below), whose sum is σ = 1412856000. Its totient is φ = 160376832.

The previous prime is 513712223. The next prime is 513712327. The reversal of 513712272 is 272217315.

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, 78004 + ... + 84332.

It is an arithmetic number, because the mean of its divisors is an integer number (17660700).

Almost surely, 2^513712272 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 513712272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706428000).

513712272 is an abundant number, since it is smaller than the sum of its proper divisors (899143728).

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

513712272 is a wasteful number, since it uses less digits than its factorization.

513712272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6442 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 513712272 is about 22665.2216402134. The cubic root of 513712272 is about 800.8908160237.

Adding to 513712272 its reverse (272217315), we get a palindrome (785929587).

The spelling of 513712272 in words is "five hundred thirteen million, seven hundred twelve thousand, two hundred seventy-two".