115105250411141 has 2 divisors, whose sum is σ = 115105250411142. Its totient is φ = 115105250411140.

The previous prime is 115105250411083. The next prime is 115105250411147. The reversal of 115105250411141 is 141114052501511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108598720787041 + 6506529624100 = 10421071^2 + 2550790^2 .

It is a cyclic number.

It is not a de Polignac number, because 115105250411141 - 2⁶ = 115105250411077 is a prime.

It is a super-2 number, since 2×115105250411141² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115105250411098 and 115105250411107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115105250411147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57552625205570 + 57552625205571.

It is an arithmetic number, because the mean of its divisors is an integer number (57552625205571).

Almost surely, 2^{115105250411141} is an apocalyptic number.

It is an amenable number.

115105250411141 is a deficient number, since it is larger than the sum of its proper divisors (1).

115105250411141 is an equidigital number, since it uses as much as digits as its factorization.

115105250411141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4000, while the sum is 32.

The spelling of 115105250411141 in words is "one hundred fifteen trillion, one hundred five billion, two hundred fifty million, four hundred eleven thousand, one hundred forty-one".