512131502000 has 80 divisors (see below), whose sum is σ = 1239842615232. Its totient is φ = 204603033600.

The previous prime is 512131501997. The next prime is 512131502011. The reversal of 512131502000 is 205131215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1490432 + ... + 1801568.

Almost surely, 2^512131502000 is an apocalyptic number.

512131502000 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 512131502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619921307616).

512131502000 is an abundant number, since it is smaller than the sum of its proper divisors (727711113232).

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

512131502000 is a wasteful number, since it uses less digits than its factorization.

512131502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311983 (or 311967 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 512131502000 its reverse (205131215), we get a palindrome (512336633215).

The spelling of 512131502000 in words is "five hundred twelve billion, one hundred thirty-one million, five hundred two thousand".