505140631115301 has 12 divisors (see below), whose sum is σ = 729648050978028. Its totient is φ = 336760202574144.

The previous prime is 505140631115297. The next prime is 505140631115333. The reversal of 505140631115301 is 103511136041505.

505140631115301 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 4 + 0 + 6 + 3 + 111 + 530 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 255231010354401 + 249909620760900 = 15975951^2 + 15808530^2 .

It is not a de Polignac number, because 505140631115301 - 2² = 505140631115297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505140631515301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2835120 + ... + 31911113.

It is an arithmetic number, because the mean of its divisors is an integer number (60804004248169).

Almost surely, 2^{505140631115301} is an apocalyptic number.

It is an amenable number.

505140631115301 is a deficient number, since it is larger than the sum of its proper divisors (224507419862727).

505140631115301 is a wasteful number, since it uses less digits than its factorization.

505140631115301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36361572 (or 36361569 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 505140631115301 its reverse (103511136041505), we get a palindrome (608651767156806).

The spelling of 505140631115301 in words is "five hundred five trillion, one hundred forty billion, six hundred thirty-one million, one hundred fifteen thousand, three hundred one".