513272712 has 64 divisors (see below), whose sum is σ = 1315802880. Its totient is φ = 166771712.

The previous prime is 513272699. The next prime is 513272719. The reversal of 513272712 is 217272315.

It is a self number, because there is not a number n which added to its sum of digits gives 513272712.

It is not an unprimeable number, because it can be changed into a prime (513272719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329728 + ... + 331280.

It is an arithmetic number, because the mean of its divisors is an integer number (20559420).

Almost surely, 2^513272712 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 513272712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657901440).

513272712 is an abundant number, since it is smaller than the sum of its proper divisors (802530168).

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

513272712 is a wasteful number, since it uses less digits than its factorization.

513272712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1898 counting only the distinct ones).

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

The square root of 513272712 is about 22655.5227703975. The cubic root of 513272712 is about 800.6623223434.

The spelling of 513272712 in words is "five hundred thirteen million, two hundred seventy-two thousand, seven hundred twelve".