505105301241441 has 10 divisors (see below), whose sum is σ = 754540017904002. Its totient is φ = 336736867494240.

The previous prime is 505105301241433. The next prime is 505105301241467. The reversal of 505105301241441 is 144142103501505.

505105301241441 is a `hidden beast` number, since 5 + 0 + 5 + 105 + 301 + 241 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 488682309945600 + 16422991295841 = 22106160^2 + 4052529^2 .

It is not a de Polignac number, because 505105301241441 - 2³ = 505105301241433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505105301241396 and 505105301241405.

It is not an unprimeable number, because it can be changed into a prime (505105301241481) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3117933958200 + ... + 3117933958361.

Almost surely, 2^{505105301241441} is an apocalyptic number.

It is an amenable number.

505105301241441 is a deficient number, since it is larger than the sum of its proper divisors (249434716662561).

505105301241441 is an equidigital number, since it uses as much as digits as its factorization.

505105301241441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235867916573 (or 6235867916564 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 505105301241441 its reverse (144142103501505), we get a palindrome (649247404742946).

The spelling of 505105301241441 in words is "five hundred five trillion, one hundred five billion, three hundred one million, two hundred forty-one thousand, four hundred forty-one".