512150314130000 has 400 divisors, whose sum is σ = 1526294373158016. Its totient is φ = 162067910400000.

The previous prime is 512150314129999. The next prime is 512150314130023. The reversal of 512150314130000 is 31413051215.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9009881579 + ... + 9009938421.

Almost surely, 2^{512150314130000} is an apocalyptic number.

512150314130000 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 512150314130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763147186579008).

512150314130000 is an abundant number, since it is smaller than the sum of its proper divisors (1014144059028016).

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

512150314130000 is a wasteful number, since it uses less digits than its factorization.

512150314130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66792 (or 66771 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 512150314130000 its reverse (31413051215), we get a palindrome (512181727181215).

The spelling of 512150314130000 in words is "five hundred twelve trillion, one hundred fifty billion, three hundred fourteen million, one hundred thirty thousand".