186131681 has 2 divisors, whose sum is σ = 186131682. Its totient is φ = 186131680.

The previous prime is 186131641. The next prime is 186131711.

186131681 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109411600 + 76720081 = 10460^2 + 8759^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 186131681 - 2¹⁰ = 186130657 is a prime.

It is a super-2 number, since 2×186131681² = 69290005343771522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (186131641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 93065840 + 93065841.

It is an arithmetic number, because the mean of its divisors is an integer number (93065841).

Almost surely, 2^186131681 is an apocalyptic number.

It is an amenable number.

186131681 is a deficient number, since it is larger than the sum of its proper divisors (1).

186131681 is an equidigital number, since it uses as much as digits as its factorization.

186131681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 35.

The square root of 186131681 is about 13643.0085025261. The cubic root of 186131681 is about 570.9614235131.

The spelling of 186131681 in words is "one hundred eighty-six million, one hundred thirty-one thousand, six hundred eighty-one".