512145230300000 has 288 divisors, whose sum is σ = 1377857123687520. Its totient is φ = 185826931200000.

The previous prime is 512145230299993. The next prime is 512145230300003. The reversal of 512145230300000 is 3032541215.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512145230300003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502190606 + ... + 503209394.

It is an arithmetic number, because the mean of its divisors is an integer number (4784226123915).

Almost surely, 2^{512145230300000} is an apocalyptic number.

512145230300000 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 512145230300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688928561843760).

512145230300000 is an abundant number, since it is smaller than the sum of its proper divisors (865711893387520).

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

512145230300000 is a wasteful number, since it uses less digits than its factorization.

512145230300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019292 (or 1019264 counting only the distinct ones).

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

Adding to 512145230300000 its reverse (3032541215), we get a palindrome (512148262841215).

The spelling of 512145230300000 in words is "five hundred twelve trillion, one hundred forty-five billion, two hundred thirty million, three hundred thousand".