506431434315 has 64 divisors (see below), whose sum is σ = 832204800000. Its totient is φ = 262906795008.

The previous prime is 506431434283. The next prime is 506431434319. The reversal of 506431434315 is 513434134605.

It is not a de Polignac number, because 506431434315 - 2⁵ = 506431434283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506431434319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36800406 + ... + 36814164.

It is an arithmetic number, because the mean of its divisors is an integer number (13003200000).

Almost surely, 2^506431434315 is an apocalyptic number.

506431434315 is a deficient number, since it is larger than the sum of its proper divisors (325773365685).

506431434315 is a wasteful number, since it uses less digits than its factorization.

506431434315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14284.

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 506431434315 in words is "five hundred six billion, four hundred thirty-one million, four hundred thirty-four thousand, three hundred fifteen".