52005432 has 64 divisors (see below), whose sum is σ = 139248000. Its totient is φ = 16136064.

The previous prime is 52005409. The next prime is 52005433. The reversal of 52005432 is 23450025.

It is a junction number, because it is equal to n+sod(n) for n = 52005399 and 52005408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52005433) 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, 25938 + ... + 27870.

It is an arithmetic number, because the mean of its divisors is an integer number (2175750).

Almost surely, 2^52005432 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 52005432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69624000).

52005432 is an abundant number, since it is smaller than the sum of its proper divisors (87242568).

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

52005432 is a wasteful number, since it uses less digits than its factorization.

52005432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 52005432 is about 7211.4791825256. The cubic root of 52005432 is about 373.2641120245.

Adding to 52005432 its reverse (23450025), we get a palindrome (75455457).

The spelling of 52005432 in words is "fifty-two million, five thousand, four hundred thirty-two".