512271225312 has 192 divisors, whose sum is σ = 1678610884608. Its totient is φ = 132891840000.

The previous prime is 512271225299. The next prime is 512271225383. The reversal of 512271225312 is 213522172215.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5952187 + ... + 6037637.

It is an arithmetic number, because the mean of its divisors is an integer number (8742765024).

Almost surely, 2^512271225312 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 512271225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839305442304).

512271225312 is an abundant number, since it is smaller than the sum of its proper divisors (1166339659296).

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

512271225312 is a wasteful number, since it uses less digits than its factorization.

512271225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86293 (or 86285 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

Adding to 512271225312 its reverse (213522172215), we get a palindrome (725793397527).

The spelling of 512271225312 in words is "five hundred twelve billion, two hundred seventy-one million, two hundred twenty-five thousand, three hundred twelve".