813333361 has 15 divisors (see below), whose sum is σ = 869523081. Its totient is φ = 760772844.

The previous prime is 813333299. The next prime is 813333373. The reversal of 813333361 is 163333318.

The square root of 813333361 is 28519.

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

It is not a de Polignac number, because 813333361 - 2¹⁷ = 813202289 is a prime.

It is a super-2 number, since 2×813333361² = 1323022312231112642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (813333161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10295320 + ... + 10295398.

Almost surely, 2^813333361 is an apocalyptic number.

813333361 is the 28519-th square number.

813333361 is the 14260-th centered octagonal number.

It is an amenable number.

813333361 is a deficient number, since it is larger than the sum of its proper divisors (56189720).

813333361 is an frugal number, since it uses more digits than its factorization.

813333361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 98 counting only the distinct ones).

The product of its digits is 11664, while the sum is 31.

The cubic root of 813333361 is about 933.4467088322.

Multiplying 813333361 by its product of digits (11664), we get a square (9486720322704 = 3080052²).

Adding to 813333361 its reverse (163333318), we get a palindrome (976666679).

The spelling of 813333361 in words is "eight hundred thirteen million, three hundred thirty-three thousand, three hundred sixty-one".