813007693 has 2 divisors, whose sum is σ = 813007694. Its totient is φ = 813007692.

The previous prime is 813007691. The next prime is 813007729. The reversal of 813007693 is 396700318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 757460484 + 55547209 = 27522^2 + 7453^2 .

It is a cyclic number.

It is not a de Polignac number, because 813007693 - 2¹ = 813007691 is a prime.

Together with 813007691, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813007691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406503846 + 406503847.

It is an arithmetic number, because the mean of its divisors is an integer number (406503847).

Almost surely, 2^813007693 is an apocalyptic number.

It is an amenable number.

813007693 is a deficient number, since it is larger than the sum of its proper divisors (1).

813007693 is an equidigital number, since it uses as much as digits as its factorization.

813007693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 813007693 is about 28513.2897610921. The cubic root of 813007693 is about 933.3221046126.

The spelling of 813007693 in words is "eight hundred thirteen million, seven thousand, six hundred ninety-three".