513044272 has 40 divisors (see below), whose sum is σ = 1075261040. Its totient is φ = 235733760.

The previous prime is 513044267. The next prime is 513044297. The reversal of 513044272 is 272440315.

It is a self number, because there is not a number n which added to its sum of digits gives 513044272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42247 + ... + 53017.

It is an arithmetic number, because the mean of its divisors is an integer number (26881526).

Almost surely, 2^513044272 is an apocalyptic number.

513044272 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 513044272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537630520).

513044272 is an abundant number, since it is smaller than the sum of its proper divisors (562216768).

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

513044272 is a wasteful number, since it uses less digits than its factorization.

513044272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 513044272 is about 22650.4806130025. The cubic root of 513044272 is about 800.5435223124.

Adding to 513044272 its reverse (272440315), we get a palindrome (785484587).

The spelling of 513044272 in words is "five hundred thirteen million, forty-four thousand, two hundred seventy-two".