813005325 has 72 divisors (see below), whose sum is σ = 1595880000. Its totient is φ = 392371200.

The previous prime is 813005321. The next prime is 813005327. The reversal of 813005325 is 523500318.

813005325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 813005325 - 2² = 813005321 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813005321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 650301 + ... + 651549.

It is an arithmetic number, because the mean of its divisors is an integer number (22165000).

Almost surely, 2^813005325 is an apocalyptic number.

It is an amenable number.

813005325 is a deficient number, since it is larger than the sum of its proper divisors (782874675).

813005325 is a wasteful number, since it uses less digits than its factorization.

813005325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 813005325 is about 28513.2482365654. The cubic root of 813005325 is about 933.3211984675.

The spelling of 813005325 in words is "eight hundred thirteen million, five thousand, three hundred twenty-five".