813252 has 48 divisors (see below), whose sum is σ = 2124864. Its totient is φ = 240000.

The previous prime is 813251. The next prime is 813269. The reversal of 813252 is 252318.

It is a super-3 number, since 3×813252³ = 1613602933398777024, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (813251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8002 + ... + 8102.

It is an arithmetic number, because the mean of its divisors is an integer number (44268).

2⁸¹³²⁵² 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 813252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062432).

813252 is an abundant number, since it is smaller than the sum of its proper divisors (1311612).

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

813252 is a wasteful number, since it uses less digits than its factorization.

813252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 813252 is about 901.8048569397. The cubic root of 813252 is about 93.3415582321.

It can be divided in two parts, 81 and 3252, that added together give a palindrome (3333).

The spelling of 813252 in words is "eight hundred thirteen thousand, two hundred fifty-two".