251311410341 has 2 divisors, whose sum is σ = 251311410342. Its totient is φ = 251311410340.

The previous prime is 251311410299. The next prime is 251311410353. The reversal of 251311410341 is 143014113152.

251311410341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218599262116 + 32712148225 = 467546^2 + 180865^2 .

It is a cyclic number.

It is not a de Polignac number, because 251311410341 - 2¹⁰ = 251311409317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 251311410341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251311710341) 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 as a sum of consecutive naturals, namely, 125655705170 + 125655705171.

It is an arithmetic number, because the mean of its divisors is an integer number (125655705171).

Almost surely, 2^251311410341 is an apocalyptic number.

It is an amenable number.

251311410341 is a deficient number, since it is larger than the sum of its proper divisors (1).

251311410341 is an equidigital number, since it uses as much as digits as its factorization.

251311410341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 251311410341 its reverse (143014113152), we get a palindrome (394325523493).

The spelling of 251311410341 in words is "two hundred fifty-one billion, three hundred eleven million, four hundred ten thousand, three hundred forty-one".