813598588009 has 3 divisors (see below), whose sum is σ = 813599490007. Its totient is φ = 813597686012.

The previous prime is 813598588003. The next prime is 813598588057. The reversal of 813598588009 is 900885895318.

It is a happy number.

The square root of 813598588009 is 901997.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 660895832025 + 152702755984 = 812955^2 + 390772^2 .

It is not a de Polignac number, because 813598588009 - 2¹⁹ = 813598063721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (813598588003) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 450999 + ... + 1352995.

Almost surely, 2^813598588009 is an apocalyptic number.

813598588009 is the 901997-th square number.

813598588009 is the 450999-th centered octagonal number.

It is an amenable number.

813598588009 is a deficient number, since it is larger than the sum of its proper divisors (901998).

813598588009 is an frugal number, since it uses more digits than its factorization.

813598588009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803994 (or 901997 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 64.

Multiplying 813598588009 by its sum of digits (64), we get a square (52070309632576 = 7215976²).

The spelling of 813598588009 in words is "eight hundred thirteen billion, five hundred ninety-eight million, five hundred eighty-eight thousand, nine".