813013 has 2 divisors, whose sum is σ = 813014. Its totient is φ = 813012.

The previous prime is 812969. The next prime is 813017. The reversal of 813013 is 310318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 786769 + 26244 = 887^2 + 162^2 .

It is a cyclic number.

It is not a de Polignac number, because 813013 - 2⁹ = 812501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406506 + 406507.

It is an arithmetic number, because the mean of its divisors is an integer number (406507).

2⁸¹³⁰¹³ is an apocalyptic number.

It is an amenable number.

813013 is a deficient number, since it is larger than the sum of its proper divisors (1).

813013 is an equidigital number, since it uses as much as digits as its factorization.

813013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 813013 is about 901.6723351639. The cubic root of 813013 is about 93.3324135397.

The spelling of 813013 in words is "eight hundred thirteen thousand, thirteen".