2631161176181 has 2 divisors, whose sum is σ = 2631161176182. Its totient is φ = 2631161176180.

The previous prime is 2631161176121. The next prime is 2631161176219. The reversal of 2631161176181 is 1816711611362.

2631161176181 is digitally balanced in base 2 and base 3, because in such bases 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., 2459047378225 + 172113797956 = 1568135^2 + 414866^2 .

It is a cyclic number.

It is not a de Polignac number, because 2631161176181 - 2¹⁰ = 2631161175157 is a prime.

It is a super-2 number, since 2×2631161176181² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2631161176121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1315580588090 + 1315580588091.

It is an arithmetic number, because the mean of its divisors is an integer number (1315580588091).

Almost surely, 2^{2631161176181} is an apocalyptic number.

It is an amenable number.

2631161176181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2631161176181 is an equidigital number, since it uses as much as digits as its factorization.

2631161176181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 44.

The spelling of 2631161176181 in words is "two trillion, six hundred thirty-one billion, one hundred sixty-one million, one hundred seventy-six thousand, one hundred eighty-one".