513212672 has 108 divisors (see below), whose sum is σ = 1203760656. Its totient is φ = 217728000.

The previous prime is 513212659. The next prime is 513212683. The reversal of 513212672 is 276212315.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2044547 + ... + 2044797.

It is an arithmetic number, because the mean of its divisors is an integer number (11145932).

Almost surely, 2^513212672 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 513212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601880328).

513212672 is an abundant number, since it is smaller than the sum of its proper divisors (690547984).

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

513212672 is a wasteful number, since it uses less digits than its factorization.

513212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 423 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 513212672 is about 22654.1976684234. The cubic root of 513212672 is about 800.6311020069.

Adding to 513212672 its reverse (276212315), we get a palindrome (789424987).

The spelling of 513212672 in words is "five hundred thirteen million, two hundred twelve thousand, six hundred seventy-two".