81741000241 has 2 divisors, whose sum is σ = 81741000242. Its totient is φ = 81741000240.

The previous prime is 81741000163. The next prime is 81741000281. The reversal of 81741000241 is 14200014718.

81741000241 = T₂₃₃₄₃₈ + T₂₃₃₄₃₉ + T₂₃₃₄₄₀.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59782206016 + 21958794225 = 244504^2 + 148185^2 .

It is a cyclic number.

It is not a de Polignac number, because 81741000241 - 2¹¹ = 81740998193 is a prime.

It is a super-2 number, since 2×81741000241² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (81741000281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40870500120 + 40870500121.

It is an arithmetic number, because the mean of its divisors is an integer number (40870500121).

Almost surely, 2^81741000241 is an apocalyptic number.

81741000241 is the 233440-th centered triangular number.

It is an amenable number.

81741000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

81741000241 is an equidigital number, since it uses as much as digits as its factorization.

81741000241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 28.

Adding to 81741000241 its reverse (14200014718), we get a palindrome (95941014959).

The spelling of 81741000241 in words is "eighty-one billion, seven hundred forty-one million, two hundred forty-one", and thus it is an aban number.