500031132000 has 1536 divisors, whose sum is σ = 1956416716800. Its totient is φ = 110702592000.

The previous prime is 500031131933. The next prime is 500031132001. The reversal of 500031132000 is 231130005.

It is a happy number.

It is a super-2 number, since 2×500031132000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500031132001) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 6329507961 + ... + 6329508039.

It is an arithmetic number, because the mean of its divisors is an integer number (1273708800).

Almost surely, 2^500031132000 is an apocalyptic number.

500031132000 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 500031132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978208358400).

500031132000 is an abundant number, since it is smaller than the sum of its proper divisors (1456385584800).

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

500031132000 is a wasteful number, since it uses less digits than its factorization.

500031132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 500031132000 its reverse (231130005), we get a palindrome (500262262005).

The spelling of 500031132000 in words is "five hundred billion, thirty-one million, one hundred thirty-two thousand".