261761401723173 has 192 divisors, whose sum is σ = 409519671644160. Its totient is φ = 148188192768000.

The previous prime is 261761401723163. The next prime is 261761401723177. The reversal of 261761401723173 is 371327104167162.

It is not a de Polignac number, because 261761401723173 - 2⁹ = 261761401722661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261761401723177) 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 in 191 ways as a sum of consecutive naturals, for example, 165357801940 + ... + 165357803522.

It is an arithmetic number, because the mean of its divisors is an integer number (2132914956480).

Almost surely, 2^{261761401723173} is an apocalyptic number.

It is an amenable number.

261761401723173 is a deficient number, since it is larger than the sum of its proper divisors (147758269920987).

261761401723173 is a wasteful number, since it uses less digits than its factorization.

261761401723173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 261761401723173 in words is "two hundred sixty-one trillion, seven hundred sixty-one billion, four hundred one million, seven hundred twenty-three thousand, one hundred seventy-three".