506072444267 has 16 divisors (see below), whose sum is σ = 562742772480. Its totient is φ = 451945267200.

The previous prime is 506072444243. The next prime is 506072444279. The reversal of 506072444267 is 762444270605.

It is a cyclic number.

It is not a de Polignac number, because 506072444267 - 2²⁰ = 506071395691 is a prime.

It is a super-2 number, since 2×506072444267² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506072444167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1244267 + ... + 1600107.

It is an arithmetic number, because the mean of its divisors is an integer number (35171423280).

Almost surely, 2^506072444267 is an apocalyptic number.

506072444267 is a deficient number, since it is larger than the sum of its proper divisors (56670328213).

506072444267 is a wasteful number, since it uses less digits than its factorization.

506072444267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359414.

The product of its (nonzero) digits is 2257920, while the sum is 47.

The spelling of 506072444267 in words is "five hundred six billion, seventy-two million, four hundred forty-four thousand, two hundred sixty-seven".