506444436451211 has 8 divisors (see below), whose sum is σ = 507346958376960. Its totient is φ = 505541925079272.

The previous prime is 506444436451189. The next prime is 506444436451361. The reversal of 506444436451211 is 112154634444605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506444436451211 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 506444436451211.

It is not an unprimeable number, because it can be changed into a prime (506444436481211) 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 7 ways as a sum of consecutive naturals, for example, 96753650 + ... + 101853608.

It is an arithmetic number, because the mean of its divisors is an integer number (63418369797120).

Almost surely, 2^{506444436451211} is an apocalyptic number.

506444436451211 is a deficient number, since it is larger than the sum of its proper divisors (902521925749).

506444436451211 is a wasteful number, since it uses less digits than its factorization.

506444436451211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276905.

The product of its (nonzero) digits is 5529600, while the sum is 50.

The spelling of 506444436451211 in words is "five hundred six trillion, four hundred forty-four billion, four hundred thirty-six million, four hundred fifty-one thousand, two hundred eleven".