506010005604 has 72 divisors (see below), whose sum is σ = 1308298642560. Its totient is φ = 164828114112.

The previous prime is 506010005477. The next prime is 506010005623. The reversal of 506010005604 is 406500010605.

It is a happy number.

506010005604 is a `hidden beast` number, since 5 + 0 + 601 + 0 + 0 + 0 + 56 + 0 + 4 = 666.

It is a super-2 number, since 2×506010005604² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875887 + ... + 1333865.

It is an arithmetic number, because the mean of its divisors is an integer number (18170814480).

Almost surely, 2^506010005604 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 506010005604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654149321280).

506010005604 is an abundant number, since it is smaller than the sum of its proper divisors (802288636956).

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

506010005604 is a wasteful number, since it uses less digits than its factorization.

506010005604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458689 (or 458684 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 506010005604 in words is "five hundred six billion, ten million, five thousand, six hundred four".