506416265411231 has 24 divisors (see below), whose sum is σ = 595723749705360. Its totient is φ = 429187961930112.

The previous prime is 506416265411207. The next prime is 506416265411257. The reversal of 506416265411231 is 132114562614605.

It is not a de Polignac number, because 506416265411231 - 2¹⁰ = 506416265410207 is a prime.

It is a super-2 number, since 2×506416265411231² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506416265411261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331209665 + ... + 332735141.

It is an arithmetic number, because the mean of its divisors is an integer number (24821822904390).

Almost surely, 2^{506416265411231} is an apocalyptic number.

506416265411231 is a deficient number, since it is larger than the sum of its proper divisors (89307484294129).

506416265411231 is a wasteful number, since it uses less digits than its factorization.

506416265411231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601703 (or 1601696 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 506416265411231 in words is "five hundred six trillion, four hundred sixteen billion, two hundred sixty-five million, four hundred eleven thousand, two hundred thirty-one".