506054525000 has 96 divisors (see below), whose sum is σ = 1186535385000. Its totient is φ = 202328640000.

The previous prime is 506054524993. The next prime is 506054525017. The reversal of 506054525000 is 525450605.

It can be written as a sum of positive squares in 12 ways, for example, as 479381755876 + 26672769124 = 692374^2 + 163318^2 .

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 23 ways as a sum of consecutive naturals, for example, 86222066 + ... + 86227934.

Almost surely, 2^506054525000 is an apocalyptic number.

506054525000 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 506054525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593267692500).

506054525000 is an abundant number, since it is smaller than the sum of its proper divisors (680480860000).

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

506054525000 is an equidigital number, since it uses as much as digits as its factorization.

506054525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

Adding to 506054525000 its reverse (525450605), we get a palindrome (506579975605).

The spelling of 506054525000 in words is "five hundred six billion, fifty-four million, five hundred twenty-five thousand".