813083301 has 6 divisors (see below), whose sum is σ = 1174453670. Its totient is φ = 542055528.

The previous prime is 813083291. The next prime is 813083303. The reversal of 813083301 is 103380318.

813083301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 704902500 + 108180801 = 26550^2 + 10401^2 .

It is not a de Polignac number, because 813083301 - 2⁵ = 813083269 is a prime.

It is a super-2 number, since 2×813083301² = 1322208908730113202, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813083303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45171286 + ... + 45171303.

Almost surely, 2^813083301 is an apocalyptic number.

It is an amenable number.

813083301 is a deficient number, since it is larger than the sum of its proper divisors (361370369).

813083301 is a wasteful number, since it uses less digits than its factorization.

813083301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90342595 (or 90342592 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 813083301 is about 28514.6155681608. The cubic root of 813083301 is about 933.3510360446.

The spelling of 813083301 in words is "eight hundred thirteen million, eighty-three thousand, three hundred one".