261553325141 has 2 divisors, whose sum is σ = 261553325142. Its totient is φ = 261553325140.

The previous prime is 261553325051. The next prime is 261553325161. The reversal of 261553325141 is 141523355162.

261553325141 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., 217665170116 + 43888155025 = 466546^2 + 209495^2 .

It is a cyclic number.

It is not a de Polignac number, because 261553325141 - 2³⁰ = 260479583317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 261553325095 and 261553325104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261553325161) 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, 130776662570 + 130776662571.

It is an arithmetic number, because the mean of its divisors is an integer number (130776662571).

Almost surely, 2^261553325141 is an apocalyptic number.

It is an amenable number.

261553325141 is a deficient number, since it is larger than the sum of its proper divisors (1).

261553325141 is an equidigital number, since it uses as much as digits as its factorization.

261553325141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108000, while the sum is 38.

The spelling of 261553325141 in words is "two hundred sixty-one billion, five hundred fifty-three million, three hundred twenty-five thousand, one hundred forty-one".