512314352000 has 256 divisors, whose sum is σ = 1423447421760. Its totient is φ = 181749760000.

The previous prime is 512314351993. The next prime is 512314352009. The reversal of 512314352000 is 253413215.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512314352009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7180502 + ... + 7251498.

Almost surely, 2^512314352000 is an apocalyptic number.

512314352000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512314352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711723710880).

512314352000 is an abundant number, since it is smaller than the sum of its proper divisors (911133069760).

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

512314352000 is a wasteful number, since it uses less digits than its factorization.

512314352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71078 (or 71056 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 512314352000 its reverse (253413215), we get a palindrome (512567765215).

The spelling of 512314352000 in words is "five hundred twelve billion, three hundred fourteen million, three hundred fifty-two thousand".