810013 has 2 divisors, whose sum is σ = 810014. Its totient is φ = 810012.

The previous prime is 809993. The next prime is 810023. The reversal of 810013 is 310018.

810013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 558009 + 252004 = 747^2 + 502^2 .

It is a cyclic number.

It is not a de Polignac number, because 810013 - 2⁵ = 809981 is a prime.

It is a super-2 number, since 2×810013² = 1312242120338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 809975 and 810002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (810023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405006 + 405007.

It is an arithmetic number, because the mean of its divisors is an integer number (405007).

2⁸¹⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

810013 is a deficient number, since it is larger than the sum of its proper divisors (1).

810013 is an equidigital number, since it uses as much as digits as its factorization.

810013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 810013 is about 900.0072221932. The cubic root of 810013 is about 93.2174738676.

Subtracting from 810013 its sum of digits (13), we obtain a 4-th power (810000 = 30⁴).

The spelling of 810013 in words is "eight hundred ten thousand, thirteen".