52258960 has 80 divisors (see below), whose sum is σ = 132335280. Its totient is φ = 19077120.

The previous prime is 52258951. The next prime is 52258961. The reversal of 52258960 is 6985225.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3370896 + 48888064 = 1836^2 + 6992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (52258961) 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 15 ways as a sum of consecutive naturals, for example, 113130 + ... + 113590.

It is an arithmetic number, because the mean of its divisors is an integer number (1654191).

Almost surely, 2^52258960 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 52258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66167640).

52258960 is an abundant number, since it is smaller than the sum of its proper divisors (80076320).

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

52258960 is a wasteful number, since it uses less digits than its factorization.

52258960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 52258960 is about 7229.0358969921. The cubic root of 52258960 is about 373.8696868392.

The spelling of 52258960 in words is "fifty-two million, two hundred fifty-eight thousand, nine hundred sixty".