813285500 has 96 divisors (see below), whose sum is σ = 1902700800. Its totient is φ = 302760000.

The previous prime is 813285467. The next prime is 813285523. The reversal of 813285500 is 5582318.

It is a happy number.

It is a super-2 number, since 2×813285500² = 1322866609020500000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559775 + ... + 561225.

It is an arithmetic number, because the mean of its divisors is an integer number (19819800).

Almost surely, 2^813285500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813285500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951350400).

813285500 is an abundant number, since it is smaller than the sum of its proper divisors (1089415300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813285500 is a wasteful number, since it uses less digits than its factorization.

813285500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 813285500 is about 28518.1608803934. The cubic root of 813285500 is about 933.4283987634.

The spelling of 813285500 in words is "eight hundred thirteen million, two hundred eighty-five thousand, five hundred".