512351030000 has 100 divisors (see below), whose sum is σ = 1240981290120. Its totient is φ = 204853152000.

The previous prime is 512351029991. The next prime is 512351030041. The reversal of 512351030000 is 30153215.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26760431 + ... + 26779569.

Almost surely, 2^512351030000 is an apocalyptic number.

512351030000 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 512351030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620490645060).

512351030000 is an abundant number, since it is smaller than the sum of its proper divisors (728630260120).

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

512351030000 is a wasteful number, since it uses less digits than its factorization.

512351030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21844 (or 21823 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 512351030000 its reverse (30153215), we get a palindrome (512381183215).

The spelling of 512351030000 in words is "five hundred twelve billion, three hundred fifty-one million, thirty thousand".