52575840 has 144 divisors (see below), whose sum is σ = 185749200. Its totient is φ = 13526016.

The previous prime is 52575827. The next prime is 52575851. The reversal of 52575840 is 4857525.

It is a happy number.

52575840 is a `hidden beast` number, since 5 + 2 + 575 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 52575795 and 52575804.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41131 + ... + 42389.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2^52575840 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 52575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92874600).

52575840 is an abundant number, since it is smaller than the sum of its proper divisors (133173360).

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

52575840 is a wasteful number, since it uses less digits than its factorization.

52575840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 52575840 is about 7250.9199416350. The cubic root of 52575840 is about 374.6238361281.

The spelling of 52575840 in words is "fifty-two million, five hundred seventy-five thousand, eight hundred forty".