506395643041 has 8 divisors (see below), whose sum is σ = 513965592224. Its totient is φ = 498842802720.

The previous prime is 506395643009. The next prime is 506395643057. The reversal of 506395643041 is 140346593605.

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

It is a cyclic number.

It is not a de Polignac number, because 506395643041 - 2⁵ = 506395643009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506395642982 and 506395643000.

It is not an unprimeable number, because it can be changed into a prime (506395641041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4217571 + ... + 4335976.

It is an arithmetic number, because the mean of its divisors is an integer number (64245699028).

Almost surely, 2^506395643041 is an apocalyptic number.

It is an amenable number.

506395643041 is a deficient number, since it is larger than the sum of its proper divisors (7569949183).

506395643041 is an equidigital number, since it uses as much as digits as its factorization.

506395643041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554431.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 506395643041 in words is "five hundred six billion, three hundred ninety-five million, six hundred forty-three thousand, forty-one".