581213952 has 432 divisors, whose sum is σ = 2066238720. Its totient is φ = 154828800.

The previous prime is 581213951. The next prime is 581213959. The reversal of 581213952 is 259312185.

581213952 is a `hidden beast` number, since 581 + 21 + 3 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581213951) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8186077 + ... + 8186147.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^581213952 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 581213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033119360).

581213952 is an abundant number, since it is smaller than the sum of its proper divisors (1485024768).

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

581213952 is a wasteful number, since it uses less digits than its factorization.

581213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 581213952 is about 24108.3792901970. The cubic root of 581213952 is about 834.5365145056.

The spelling of 581213952 in words is "five hundred eighty-one million, two hundred thirteen thousand, nine hundred fifty-two".