513519216 has 120 divisors (see below), whose sum is σ = 1593183744. Its totient is φ = 141966720.

The previous prime is 513519203. The next prime is 513519217. The reversal of 513519216 is 612915315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513519217) 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 23 ways as a sum of consecutive naturals, for example, 69391 + ... + 76433.

Almost surely, 2^513519216 is an apocalyptic number.

513519216 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 513519216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796591872).

513519216 is an abundant number, since it is smaller than the sum of its proper divisors (1079664528).

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

513519216 is a wasteful number, since it uses less digits than its factorization.

513519216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 7086 counting only the distinct ones).

The product of its digits is 8100, while the sum is 33.

The square root of 513519216 is about 22660.9623802697. The cubic root of 513519216 is about 800.7904770087.

The spelling of 513519216 in words is "five hundred thirteen million, five hundred nineteen thousand, two hundred sixteen".