581973132 has 72 divisors (see below), whose sum is σ = 1476449856. Its totient is φ = 178336704.

The previous prime is 581973089. The next prime is 581973149. The reversal of 581973132 is 231379185.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703303 + ... + 704129.

It is an arithmetic number, because the mean of its divisors is an integer number (20506248).

Almost surely, 2^581973132 is an apocalyptic number.

581973132 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 581973132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738224928).

581973132 is an abundant number, since it is smaller than the sum of its proper divisors (894476724).

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

581973132 is a wasteful number, since it uses less digits than its factorization.

581973132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1192 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 581973132 is about 24124.1192999869. The cubic root of 581973132 is about 834.8997128172.

The spelling of 581973132 in words is "five hundred eighty-one million, nine hundred seventy-three thousand, one hundred thirty-two".