506506225500 has 576 divisors, whose sum is σ = 1825083187200. Its totient is φ = 117129600000.

The previous prime is 506506225487. The next prime is 506506225559. The reversal of 506506225500 is 5522605605.

506506225500 is a `hidden beast` number, since 50 + 6 + 50 + 6 + 2 + 2 + 550 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108947176 + ... + 108951824.

It is an arithmetic number, because the mean of its divisors is an integer number (3168547200).

Almost surely, 2^506506225500 is an apocalyptic number.

506506225500 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 506506225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912541593600).

506506225500 is an abundant number, since it is smaller than the sum of its proper divisors (1318576961700).

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

506506225500 is a wasteful number, since it uses less digits than its factorization.

506506225500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 506506225500 in words is "five hundred six billion, five hundred six million, two hundred twenty-five thousand, five hundred".