506006000104 has 64 divisors (see below), whose sum is σ = 1042783560000. Its totient is φ = 228276817920.

The previous prime is 506006000099. The next prime is 506006000179. The reversal of 506006000104 is 401000600605.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72813622 + ... + 72820570.

It is an arithmetic number, because the mean of its divisors is an integer number (16293493125).

Almost surely, 2^506006000104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506006000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521391780000).

506006000104 is an abundant number, since it is smaller than the sum of its proper divisors (536777559896).

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

506006000104 is a wasteful number, since it uses less digits than its factorization.

506006000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13058 (or 13054 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 506006000104 its reverse (401000600605), we get a palindrome (907006600709).

The spelling of 506006000104 in words is "five hundred six billion, six million, one hundred four", and thus it is an aban number.