506001123 has 24 divisors (see below), whose sum is σ = 746130528. Its totient is φ = 330325632.

The previous prime is 506001101. The next prime is 506001137. The reversal of 506001123 is 321100605.

506001123 is a `hidden beast` number, since 50 + 600 + 1 + 12 + 3 = 666.

It is not a de Polignac number, because 506001123 - 2⁶ = 506001059 is a prime.

It is a super-2 number, since 2×506001123² = 512074272954522258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506001096 and 506001105.

It is not an unprimeable number, because it can be changed into a prime (506001323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460711 + ... + 461807.

It is an arithmetic number, because the mean of its divisors is an integer number (31088772).

Almost surely, 2^506001123 is an apocalyptic number.

506001123 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

506001123 is a deficient number, since it is larger than the sum of its proper divisors (240129405).

506001123 is a wasteful number, since it uses less digits than its factorization.

506001123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 506001123 is about 22494.4687201098. The cubic root of 506001123 is about 796.8633023796.

Adding to 506001123 its reverse (321100605), we get a palindrome (827101728).

The spelling of 506001123 in words is "five hundred six million, one thousand, one hundred twenty-three".