261463366729 has 2 divisors, whose sum is σ = 261463366730. Its totient is φ = 261463366728.

The previous prime is 261463366699. The next prime is 261463366757. The reversal of 261463366729 is 927663364162.

261463366729 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., 261427690000 + 35676729 = 511300^2 + 5973^2 .

It is a cyclic number.

It is not a de Polignac number, because 261463366729 - 2²⁵ = 261429812297 is a prime.

It is a super-3 number, since 3×261463366729³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 261463366729.

It is not a weakly prime, because it can be changed into another prime (261463363729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130731683364 + 130731683365.

It is an arithmetic number, because the mean of its divisors is an integer number (130731683365).

Almost surely, 2^261463366729 is an apocalyptic number.

It is an amenable number.

261463366729 is a deficient number, since it is larger than the sum of its proper divisors (1).

261463366729 is an equidigital number, since it uses as much as digits as its factorization.

261463366729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11757312, while the sum is 55.

The spelling of 261463366729 in words is "two hundred sixty-one billion, four hundred sixty-three million, three hundred sixty-six thousand, seven hundred twenty-nine".