261148667061677 has 2 divisors, whose sum is σ = 261148667061678. Its totient is φ = 261148667061676.

The previous prime is 261148667061613. The next prime is 261148667061679. The reversal of 261148667061677 is 776160766841162.

261148667061677 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., 202763388729001 + 58385278332676 = 14239501^2 + 7641026^2 .

It is a cyclic number.

It is not a de Polignac number, because 261148667061677 - 2⁶ = 261148667061613 is a prime.

Together with 261148667061679, 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 (261148667061679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130574333530838 + 130574333530839.

It is an arithmetic number, because the mean of its divisors is an integer number (130574333530839).

Almost surely, 2^{261148667061677} is an apocalyptic number.

It is an amenable number.

261148667061677 is a deficient number, since it is larger than the sum of its proper divisors (1).

261148667061677 is an equidigital number, since it uses as much as digits as its factorization.

261148667061677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 170698752, while the sum is 68.

The spelling of 261148667061677 in words is "two hundred sixty-one trillion, one hundred forty-eight billion, six hundred sixty-seven million, sixty-one thousand, six hundred seventy-seven".