513332160224 has 96 divisors (see below), whose sum is σ = 1092268800000. Its totient is φ = 236073936384.

The previous prime is 513332160181. The next prime is 513332160239. The reversal of 513332160224 is 422061233315.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171166277 + ... + 171169275.

It is an arithmetic number, because the mean of its divisors is an integer number (11377800000).

Almost surely, 2^513332160224 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 513332160224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546134400000).

513332160224 is an abundant number, since it is smaller than the sum of its proper divisors (578936639776).

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

513332160224 is a wasteful number, since it uses less digits than its factorization.

513332160224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 513332160224 its reverse (422061233315), we get a palindrome (935393393539).

The spelling of 513332160224 in words is "five hundred thirteen billion, three hundred thirty-two million, one hundred sixty thousand, two hundred twenty-four".