507123 has 18 divisors (see below), whose sum is σ = 769964. Its totient is φ = 321552.

The previous prime is 507119. The next prime is 507137. The reversal of 507123 is 321705.

Added to its reverse (321705) it gives a triangular number (828828 = T₁₂₈₇).

It is not a de Polignac number, because 507123 - 2² = 507119 is a prime.

It is an Ulam number.

507123 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 507096 and 507105.

It is not an unprimeable number, because it can be changed into a prime (507103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7536 + ... + 7602.

2⁵⁰⁷¹²³ is an apocalyptic number.

507123 is a deficient number, since it is larger than the sum of its proper divisors (262841).

507123 is a wasteful number, since it uses less digits than its factorization.

507123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 507123 is about 712.1256911529. The cubic root of 507123 is about 79.7451787719.

Adding to 507123 its reverse (321705), we get a palindrome (828828).

It can be divided in two parts, 507 and 123, that added together give a triangular number (630 = T₃₅).

The spelling of 507123 in words is "five hundred seven thousand, one hundred twenty-three".