813181241 has 2 divisors, whose sum is σ = 813181242. Its totient is φ = 813181240.

The previous prime is 813181231. The next prime is 813181309. The reversal of 813181241 is 142181318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 743107600 + 70073641 = 27260^2 + 8371^2 .

It is a cyclic number.

It is not a de Polignac number, because 813181241 - 2⁶ = 813181177 is a prime.

It is a super-2 number, since 2×813181241² = 1322527461428600162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813181231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406590620 + 406590621.

It is an arithmetic number, because the mean of its divisors is an integer number (406590621).

Almost surely, 2^813181241 is an apocalyptic number.

It is an amenable number.

813181241 is a deficient number, since it is larger than the sum of its proper divisors (1).

813181241 is an equidigital number, since it uses as much as digits as its factorization.

813181241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 29.

The square root of 813181241 is about 28516.3328813506. The cubic root of 813181241 is about 933.3885101592.

The spelling of 813181241 in words is "eight hundred thirteen million, one hundred eighty-one thousand, two hundred forty-one".