814306013 has 2 divisors, whose sum is σ = 814306014. Its totient is φ = 814306012.

The previous prime is 814305959. The next prime is 814306033. The reversal of 814306013 is 310603418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 507285529 + 307020484 = 22523^2 + 17522^2 .

It is a cyclic number.

It is not a de Polignac number, because 814306013 - 2⁸ = 814305757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814306033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407153006 + 407153007.

It is an arithmetic number, because the mean of its divisors is an integer number (407153007).

Almost surely, 2^814306013 is an apocalyptic number.

It is an amenable number.

814306013 is a deficient number, since it is larger than the sum of its proper divisors (1).

814306013 is an equidigital number, since it uses as much as digits as its factorization.

814306013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 814306013 is about 28536.0476064924. The cubic root of 814306013 is about 933.8186584616.

The spelling of 814306013 in words is "eight hundred fourteen million, three hundred six thousand, thirteen".