58181952 has 112 divisors (see below), whose sum is σ = 166420800. Its totient is φ = 17879040.

The previous prime is 58181897. The next prime is 58181953. The reversal of 58181952 is 25918185.

58181952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58181952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58181953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149374 + ... + 149762.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2^58181952 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 58181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83210400).

58181952 is an abundant number, since it is smaller than the sum of its proper divisors (108238848).

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

58181952 is a wasteful number, since it uses less digits than its factorization.

58181952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its digits is 28800, while the sum is 39.

The square root of 58181952 is about 7627.7094858155. The cubic root of 58181952 is about 387.4920195373.

The spelling of 58181952 in words is "fifty-eight million, one hundred eighty-one thousand, nine hundred fifty-two".