506225024536 has 256 divisors, whose sum is σ = 1264564224000. Its totient is φ = 184032414720.

The previous prime is 506225024519. The next prime is 506225024549. The reversal of 506225024536 is 635420522605.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 319787601 + ... + 319789183.

It is an arithmetic number, because the mean of its divisors is an integer number (4939704000).

Almost surely, 2^506225024536 is an apocalyptic number.

506225024536 is a gapful number since it is divisible by the number (56) 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 506225024536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632282112000).

506225024536 is an abundant number, since it is smaller than the sum of its proper divisors (758339199464).

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

506225024536 is a wasteful number, since it uses less digits than its factorization.

506225024536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 506225024536 in words is "five hundred six billion, two hundred twenty-five million, twenty-four thousand, five hundred thirty-six".