813180289 has 2 divisors, whose sum is σ = 813180290. Its totient is φ = 813180288.

The previous prime is 813180283. The next prime is 813180293. The reversal of 813180289 is 982081318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 720385600 + 92794689 = 26840^2 + 9633^2 .

It is a cyclic number.

It is not a de Polignac number, because 813180289 - 2⁷ = 813180161 is a prime.

It is a super-2 number, since 2×813180289² = 1322524364836247042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813180283) 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, 406590144 + 406590145.

It is an arithmetic number, because the mean of its divisors is an integer number (406590145).

Almost surely, 2^813180289 is an apocalyptic number.

It is an amenable number.

813180289 is a deficient number, since it is larger than the sum of its proper divisors (1).

813180289 is an equidigital number, since it uses as much as digits as its factorization.

813180289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 813180289 is about 28516.3161891574. The cubic root of 813180289 is about 933.3881459164.

The spelling of 813180289 in words is "eight hundred thirteen million, one hundred eighty thousand, two hundred eighty-nine".