261674360177201 has 2 divisors, whose sum is σ = 261674360177202. Its totient is φ = 261674360177200.

The previous prime is 261674360177137. The next prime is 261674360177231. The reversal of 261674360177201 is 102771063476162.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183062658904225 + 78611701272976 = 13530065^2 + 8866324^2 .

It is a cyclic number.

It is not a de Polignac number, because 261674360177201 - 2⁶ = 261674360177137 is a prime.

It is not a weakly prime, because it can be changed into another prime (261674360177231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130837180088600 + 130837180088601.

It is an arithmetic number, because the mean of its divisors is an integer number (130837180088601).

Almost surely, 2^{261674360177201} is an apocalyptic number.

It is an amenable number.

261674360177201 is a deficient number, since it is larger than the sum of its proper divisors (1).

261674360177201 is an equidigital number, since it uses as much as digits as its factorization.

261674360177201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3556224, while the sum is 53.

The spelling of 261674360177201 in words is "two hundred sixty-one trillion, six hundred seventy-four billion, three hundred sixty million, one hundred seventy-seven thousand, two hundred one".