581152 has 48 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 241920.

The previous prime is 581149. The next prime is 581171. The reversal of 581152 is 251185.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4513 + ... + 4639.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2⁵⁸¹¹⁵² is an apocalyptic number.

581152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376).

581152 is an abundant number, since it is smaller than the sum of its proper divisors (773600).

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

581152 is a wasteful number, since it uses less digits than its factorization.

581152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its digits is 400, while the sum is 22.

The square root of 581152 is about 762.3332604577. Note that the first 3 decimals coincide. The cubic root of 581152 is about 83.4506862176.

The spelling of 581152 in words is "five hundred eighty-one thousand, one hundred fifty-two".