813413761 has 2 divisors, whose sum is σ = 813413762. Its totient is φ = 813413760.

The previous prime is 813413759. The next prime is 813413789. The reversal of 813413761 is 167314318.

813413761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 605160000 + 208253761 = 24600^2 + 14431^2 .

It is a cyclic number.

It is not a de Polignac number, because 813413761 - 2¹ = 813413759 is a prime.

Together with 813413759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (813411761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406706880 + 406706881.

It is an arithmetic number, because the mean of its divisors is an integer number (406706881).

Almost surely, 2^813413761 is an apocalyptic number.

It is an amenable number.

813413761 is a deficient number, since it is larger than the sum of its proper divisors (1).

813413761 is an equidigital number, since it uses as much as digits as its factorization.

813413761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 34.

The square root of 813413761 is about 28520.4095517578. The cubic root of 813413761 is about 933.4774656519.

The spelling of 813413761 in words is "eight hundred thirteen million, four hundred thirteen thousand, seven hundred sixty-one".