512213345100 has 216 divisors, whose sum is σ = 1630875617280. Its totient is φ = 134435283840.

The previous prime is 512213345081. The next prime is 512213345177. The reversal of 512213345100 is 1543312215.

512213345100 is a `hidden beast` number, since 5 + 1 + 2 + 213 + 345 + 100 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86768749 + ... + 86774651.

It is an arithmetic number, because the mean of its divisors is an integer number (7550350080).

Almost surely, 2^512213345100 is an apocalyptic number.

512213345100 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 512213345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815437808640).

512213345100 is an abundant number, since it is smaller than the sum of its proper divisors (1118662272180).

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

512213345100 is a wasteful number, since it uses less digits than its factorization.

512213345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7429 (or 7419 counting only the distinct ones).

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

Adding to 512213345100 its reverse (1543312215), we get a palindrome (513756657315).

The spelling of 512213345100 in words is "five hundred twelve billion, two hundred thirteen million, three hundred forty-five thousand, one hundred".