512413033132000 has 384 divisors, whose sum is σ = 1690404026508288. Its totient is φ = 147427524864000.

The previous prime is 512413033131991. The next prime is 512413033132037. The reversal of 512413033132000 is 231330314215.

It is a super-2 number, since 2×512413033132000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 512413033132000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59983642 + ... + 67991641.

It is an arithmetic number, because the mean of its divisors is an integer number (4402093819032).

Almost surely, 2^{512413033132000} is an apocalyptic number.

512413033132000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512413033132000 is an abundant number, since it is smaller than the sum of its proper divisors (1177990993376288).

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

512413033132000 is a wasteful number, since it uses less digits than its factorization.

512413033132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127975339 (or 127975321 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 512413033132000 its reverse (231330314215), we get a palindrome (512644363446215).

The spelling of 512413033132000 in words is "five hundred twelve trillion, four hundred thirteen billion, thirty-three million, one hundred thirty-two thousand".