512126650013000 has 192 divisors, whose sum is σ = 1321203234274560. Its totient is φ = 185665236240000.

The previous prime is 512126650012993. The next prime is 512126650013021. The reversal of 512126650013000 is 310056621215.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33657569 + ... + 46444431.

It is an arithmetic number, because the mean of its divisors is an integer number (6881266845180).

Almost surely, 2^{512126650013000} is an apocalyptic number.

512126650013000 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 512126650013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660601617137280).

512126650013000 is an abundant number, since it is smaller than the sum of its proper divisors (809076584261560).

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

512126650013000 is a wasteful number, since it uses less digits than its factorization.

512126650013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12787237 (or 12787212 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 512126650013000 in words is "five hundred twelve trillion, one hundred twenty-six billion, six hundred fifty million, thirteen thousand".