512561322 has 192 divisors, whose sum is σ = 1471841280. Its totient is φ = 125079552.

The previous prime is 512561321. The next prime is 512561353. The reversal of 512561322 is 223165215.

It is a happy number.

512561322 is a `hidden beast` number, since 5 + 1 + 25 + 613 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (512561321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2199718 + ... + 2199950.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2^512561322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512561322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735920640).

512561322 is an abundant number, since it is smaller than the sum of its proper divisors (959279958).

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

512561322 is a wasteful number, since it uses less digits than its factorization.

512561322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 354 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 512561322 is about 22639.8171812407. The cubic root of 512561322 is about 800.2922484339.

The spelling of 512561322 in words is "five hundred twelve million, five hundred sixty-one thousand, three hundred twenty-two".