513321216 has 72 divisors (see below), whose sum is σ = 1395348864. Its totient is φ = 167454720.

The previous prime is 513321209. The next prime is 513321217. The reversal of 513321216 is 612123315.

It is a super-4 number, since 4×513321216⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (513321217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28986 + ... + 43206.

Almost surely, 2^513321216 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 513321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697674432).

513321216 is an abundant number, since it is smaller than the sum of its proper divisors (882027648).

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

513321216 is a wasteful number, since it uses less digits than its factorization.

513321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287 (or 14273 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 513321216 is about 22656.5932125728. The cubic root of 513321216 is about 800.6875422711.

The spelling of 513321216 in words is "five hundred thirteen million, three hundred twenty-one thousand, two hundred sixteen".