506112431 has 16 divisors (see below), whose sum is σ = 561500160. Its totient is φ = 452329920.

The previous prime is 506112421. The next prime is 506112433. The reversal of 506112431 is 134211605.

It is a cyclic number.

It is not a de Polignac number, because 506112431 - 2¹⁰ = 506111407 is a prime.

It is a super-2 number, since 2×506112431² = 512299585625459522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506112397 and 506112406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506112433) 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 15 ways as a sum of consecutive naturals, for example, 303506 + ... + 305168.

It is an arithmetic number, because the mean of its divisors is an integer number (35093760).

Almost surely, 2^506112431 is an apocalyptic number.

506112431 is a deficient number, since it is larger than the sum of its proper divisors (55387729).

506112431 is a wasteful number, since it uses less digits than its factorization.

506112431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 506112431 is about 22496.9427033986. The cubic root of 506112431 is about 796.9217283089.

The spelling of 506112431 in words is "five hundred six million, one hundred twelve thousand, four hundred thirty-one".