513848216 has 64 divisors (see below), whose sum is σ = 1143374400. Its totient is φ = 211825152.

The previous prime is 513848213. The next prime is 513848243. The reversal of 513848216 is 612848315.

It is a self number, because there is not a number n which added to its sum of digits gives 513848216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513848213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644330 + ... + 645126.

It is an arithmetic number, because the mean of its divisors is an integer number (17865225).

Almost surely, 2^513848216 is an apocalyptic number.

513848216 is a gapful number since it is divisible by the number (56) 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 513848216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571687200).

513848216 is an abundant number, since it is smaller than the sum of its proper divisors (629526184).

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

513848216 is a wasteful number, since it uses less digits than its factorization.

513848216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1232 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 513848216 is about 22668.2203977286. The cubic root of 513848216 is about 800.9614565388.

Subtracting 513848216 from its reverse (612848315), we obtain a palindrome (99000099).

The spelling of 513848216 in words is "five hundred thirteen million, eight hundred forty-eight thousand, two hundred sixteen".