261262336056101 has 2 divisors, whose sum is σ = 261262336056102. Its totient is φ = 261262336056100.

The previous prime is 261262336056067. The next prime is 261262336056103. The reversal of 261262336056101 is 101650633262162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238122859312900 + 23139476743201 = 15431230^2 + 4810351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-261262336056101 is a prime.

Together with 261262336056103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261262336056103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130631168028050 + 130631168028051.

It is an arithmetic number, because the mean of its divisors is an integer number (130631168028051).

Almost surely, 2^{261262336056101} is an apocalyptic number.

It is an amenable number.

261262336056101 is a deficient number, since it is larger than the sum of its proper divisors (1).

261262336056101 is an equidigital number, since it uses as much as digits as its factorization.

261262336056101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 261262336056101 in words is "two hundred sixty-one trillion, two hundred sixty-two billion, three hundred thirty-six million, fifty-six thousand, one hundred one".