506005123 has 8 divisors (see below), whose sum is σ = 557601968. Its totient is φ = 456218784.

The previous prime is 506005111. The next prime is 506005127. The reversal of 506005123 is 321500605.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506005123 - 2⁵ = 506005091 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506005094 and 506005103.

It is not an unprimeable number, because it can be changed into a prime (506005127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452040 + ... + 453157.

It is an arithmetic number, because the mean of its divisors is an integer number (69700246).

Almost surely, 2^506005123 is an apocalyptic number.

506005123 is a deficient number, since it is larger than the sum of its proper divisors (51596845).

506005123 is a wasteful number, since it uses less digits than its factorization.

506005123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905253.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 506005123 is about 22494.5576306804. The cubic root of 506005123 is about 796.8654021410.

Adding to 506005123 its reverse (321500605), we get a palindrome (827505728).

The spelling of 506005123 in words is "five hundred six million, five thousand, one hundred twenty-three".