52157120 has 56 divisors (see below), whose sum is σ = 124815600. Its totient is φ = 20759552.

The previous prime is 52157111. The next prime is 52157137. The reversal of 52157120 is 2175125.

It is a happy number.

52157120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 124271 + ... + 124689.

It is an arithmetic number, because the mean of its divisors is an integer number (2228850).

Almost surely, 2^52157120 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 52157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62407800).

52157120 is an abundant number, since it is smaller than the sum of its proper divisors (72658480).

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

52157120 is a wasteful number, since it uses less digits than its factorization.

52157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 52157120 is about 7221.9886457956. The cubic root of 52157120 is about 373.6266685535.

The spelling of 52157120 in words is "fifty-two million, one hundred fifty-seven thousand, one hundred twenty".