58052124 has 72 divisors (see below), whose sum is σ = 159209232. Its totient is φ = 17729280.

The previous prime is 58052077. The next prime is 58052129. The reversal of 58052124 is 42125085.

It is a happy number.

It is a super-2 number, since 2×58052124² = 6740098201822752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58052129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75904 + ... + 76664.

Almost surely, 2^58052124 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 58052124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79604616).

58052124 is an abundant number, since it is smaller than the sum of its proper divisors (101157108).

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

58052124 is a wasteful number, since it uses less digits than its factorization.

58052124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 58052124 is about 7619.1944456091. The cubic root of 58052124 is about 387.2035865700.

The spelling of 58052124 in words is "fifty-eight million, fifty-two thousand, one hundred twenty-four".