261760536220993 has 2 divisors, whose sum is σ = 261760536220994. Its totient is φ = 261760536220992.

The previous prime is 261760536220991. The next prime is 261760536221039. The reversal of 261760536220993 is 399022635067162.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218891788280064 + 42868747940929 = 14794992^2 + 6547423^2 .

It is a cyclic number.

It is not a de Polignac number, because 261760536220993 - 2¹ = 261760536220991 is a prime.

Together with 261760536220991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (261760536220991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130880268110496 + 130880268110497.

It is an arithmetic number, because the mean of its divisors is an integer number (130880268110497).

Almost surely, 2^{261760536220993} is an apocalyptic number.

It is an amenable number.

261760536220993 is a deficient number, since it is larger than the sum of its proper divisors (1).

261760536220993 is an equidigital number, since it uses as much as digits as its factorization.

261760536220993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44089920, while the sum is 61.

The spelling of 261760536220993 in words is "two hundred sixty-one trillion, seven hundred sixty billion, five hundred thirty-six million, two hundred twenty thousand, nine hundred ninety-three".