513222912 has 144 divisors (see below), whose sum is σ = 1555565760. Its totient is φ = 166809600.

The previous prime is 513222883. The next prime is 513222917. The reversal of 513222912 is 219222315.

It is a happy number.

513222912 is a `hidden beast` number, since 51 + 322 + 291 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513222917) 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, 282487 + ... + 284297.

It is an arithmetic number, because the mean of its divisors is an integer number (10802540).

Almost surely, 2^513222912 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 513222912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777782880).

513222912 is an abundant number, since it is smaller than the sum of its proper divisors (1042342848).

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

513222912 is a wasteful number, since it uses less digits than its factorization.

513222912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1857 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 513222912 is about 22654.4236739759. The cubic root of 513222912 is about 800.6364269001.

The spelling of 513222912 in words is "five hundred thirteen million, two hundred twenty-two thousand, nine hundred twelve".