513222144 has 80 divisors (see below), whose sum is σ = 1387940928. Its totient is φ = 168486912.

The previous prime is 513222137. The next prime is 513222181. The reversal of 513222144 is 441222315.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100419 + ... + 105405.

Almost surely, 2^513222144 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 513222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693970464).

513222144 is an abundant number, since it is smaller than the sum of its proper divisors (874718784).

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

513222144 is an equidigital number, since it uses as much as digits as its factorization.

513222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5059 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 513222144 is about 22654.4067236377. The cubic root of 513222144 is about 800.6360275355.

Adding to 513222144 its reverse (441222315), we get a palindrome (954444459).

The spelling of 513222144 in words is "five hundred thirteen million, two hundred twenty-two thousand, one hundred forty-four".