513223456 has 48 divisors (see below), whose sum is σ = 1042239744. Its totient is φ = 248638464.

The previous prime is 513223427. The next prime is 513223457. The reversal of 513223456 is 654322315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (513223457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153256 + ... + 156568.

It is an arithmetic number, because the mean of its divisors is an integer number (21713328).

Almost surely, 2^513223456 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 513223456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521119872).

513223456 is an abundant number, since it is smaller than the sum of its proper divisors (529016288).

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

513223456 is a wasteful number, since it uses less digits than its factorization.

513223456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3465 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 513223456 is about 22654.4356804578. The cubic root of 513223456 is about 800.6367097830.

The spelling of 513223456 in words is "five hundred thirteen million, two hundred twenty-three thousand, four hundred fifty-six".