512234900352 has 1024 divisors, whose sum is σ = 1875363840000. Its totient is φ = 134470803456.

The previous prime is 512234900351. The next prime is 512234900431. The reversal of 512234900352 is 253009432215.

512234900352 is a `hidden beast` number, since 512 + 2 + 3 + 4 + 90 + 0 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512234900351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2861647399 + ... + 2861647577.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410000).

Almost surely, 2^512234900352 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 512234900352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920000).

512234900352 is an abundant number, since it is smaller than the sum of its proper divisors (1363128939648).

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

512234900352 is a wasteful number, since it uses less digits than its factorization.

512234900352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 512234900352 in words is "five hundred twelve billion, two hundred thirty-four million, nine hundred thousand, three hundred fifty-two".