506106006003 has 32 divisors (see below), whose sum is σ = 814870548800. Its totient is φ = 308592488448.

The previous prime is 506106006001. The next prime is 506106006019. The reversal of 506106006003 is 300600601605.

506106006003 is a `hidden beast` number, since 50 + 6 + 1 + 0 + 6 + 0 + 0 + 600 + 3 = 666.

It is not a de Polignac number, because 506106006003 - 2¹ = 506106006001 is a prime.

It is a super-2 number, since 2×506106006003² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506106006001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6575950 + ... + 6652467.

It is an arithmetic number, because the mean of its divisors is an integer number (25464704650).

Almost surely, 2^506106006003 is an apocalyptic number.

506106006003 is a deficient number, since it is larger than the sum of its proper divisors (308764542797).

506106006003 is a wasteful number, since it uses less digits than its factorization.

506106006003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13228548 (or 13228542 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 506106006003 its reverse (300600601605), we get a palindrome (806706607608).

The spelling of 506106006003 in words is "five hundred six billion, one hundred six million, six thousand, three".