506052075204 has 144 divisors (see below), whose sum is σ = 1432032463680. Its totient is φ = 155335086720.

The previous prime is 506052075187. The next prime is 506052075223. The reversal of 506052075204 is 402570250605.

506052075204 is a `hidden beast` number, since 5 + 0 + 60 + 520 + 75 + 2 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5246694 + ... + 5342274.

Almost surely, 2^506052075204 is an apocalyptic number.

506052075204 is a gapful number since it is divisible by the number (54) 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 506052075204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716016231840).

506052075204 is an abundant number, since it is smaller than the sum of its proper divisors (925980388476).

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

506052075204 is a wasteful number, since it uses less digits than its factorization.

506052075204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96032 (or 96018 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 506052075204 in words is "five hundred six billion, fifty-two million, seventy-five thousand, two hundred four".