506331010000 has 100 divisors (see below), whose sum is σ = 1268150390100. Its totient is φ = 195548416000.

The previous prime is 506331009979. The next prime is 506331010033. The reversal of 506331010000 is 10133605.

It can be written as a sum of positive squares in 10 ways, for example, as 305472868416 + 200858141584 = 552696^2 + 448172^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 506331010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 582985 + ... + 1162984.

It is an arithmetic number, because the mean of its divisors is an integer number (12681503901).

Almost surely, 2^506331010000 is an apocalyptic number.

506331010000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506331010000 is an abundant number, since it is smaller than the sum of its proper divisors (761819380100).

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

506331010000 is a wasteful number, since it uses less digits than its factorization.

506331010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746026 (or 1746005 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 506331010000 its reverse (10133605), we get a palindrome (506341143605).

The spelling of 506331010000 in words is "five hundred six billion, three hundred thirty-one million, ten thousand".