261774120540353 has 2 divisors, whose sum is σ = 261774120540354. Its totient is φ = 261774120540352.

The previous prime is 261774120540239. The next prime is 261774120540367. The reversal of 261774120540353 is 353045021477162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189532161316624 + 72241959223729 = 13767068^2 + 8499527^2 .

It is a cyclic number.

It is not a de Polignac number, because 261774120540353 - 2⁴⁴ = 244181934495937 is a prime.

It is not a weakly prime, because it can be changed into another prime (261774120540553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130887060270176 + 130887060270177.

It is an arithmetic number, because the mean of its divisors is an integer number (130887060270177).

Almost surely, 2^{261774120540353} is an apocalyptic number.

It is an amenable number.

261774120540353 is a deficient number, since it is larger than the sum of its proper divisors (1).

261774120540353 is an equidigital number, since it uses as much as digits as its factorization.

261774120540353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4233600, while the sum is 50.

The spelling of 261774120540353 in words is "two hundred sixty-one trillion, seven hundred seventy-four billion, one hundred twenty million, five hundred forty thousand, three hundred fifty-three".