815052 has 48 divisors (see below), whose sum is σ = 2250752. Its totient is φ = 224640.

The previous prime is 815047. The next prime is 815053. The reversal of 815052 is 250518.

815052 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (815053) by changing a digit.

815052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2448 + ... + 2760.

2⁸¹⁵⁰⁵² 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 815052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125376).

815052 is an abundant number, since it is smaller than the sum of its proper divisors (1435700).

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

815052 is a wasteful number, since it uses less digits than its factorization.

815052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 815052 is about 902.8023039403. The cubic root of 815052 is about 93.4103729001.

The spelling of 815052 in words is "eight hundred fifteen thousand, fifty-two".