251316312141 has 16 divisors (see below), whose sum is σ = 357825231360. Its totient is φ = 156548535360.

The previous prime is 251316312097. The next prime is 251316312151. The reversal of 251316312141 is 141213613152.

251316312141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 251316312141 - 2¹⁰ = 251316311117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 251316312099 and 251316312108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251316312151) 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 15 ways as a sum of consecutive naturals, for example, 46589130 + ... + 46594523.

It is an arithmetic number, because the mean of its divisors is an integer number (22364076960).

Almost surely, 2^251316312141 is an apocalyptic number.

It is an amenable number.

251316312141 is a deficient number, since it is larger than the sum of its proper divisors (106508919219).

251316312141 is a wasteful number, since it uses less digits than its factorization.

251316312141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93183716.

The product of its digits is 4320, while the sum is 30.

Adding to 251316312141 its reverse (141213613152), we get a palindrome (392529925293).

The spelling of 251316312141 in words is "two hundred fifty-one billion, three hundred sixteen million, three hundred twelve thousand, one hundred forty-one".