813086334369 has 27 divisors (see below), whose sum is σ = 1203966252307. Its totient is φ = 528764503200.

The previous prime is 813086334337. The next prime is 813086334371. The reversal of 813086334369 is 963433680318.

The square root of 813086334369 is 901713.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39179055969 + 773907278400 = 197937^2 + 879720^2 .

It is not a de Polignac number, because 813086334369 - 2⁵ = 813086334337 is a prime.

It is a super-2 number, since 2×813086334369² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (813086334569) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110907034 + ... + 110914364.

Almost surely, 2^813086334369 is an apocalyptic number.

813086334369 is the 901713-rd square number.

813086334369 is the 450857-th centered octagonal number.

It is an amenable number.

813086334369 is a deficient number, since it is larger than the sum of its proper divisors (390879917938).

813086334369 is an frugal number, since it uses more digits than its factorization.

813086334369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14750 (or 7375 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 813086334369 in words is "eight hundred thirteen billion, eighty-six million, three hundred thirty-four thousand, three hundred sixty-nine".