52105752 has 96 divisors (see below), whose sum is σ = 152334000. Its totient is φ = 16035840.

The previous prime is 52105727. The next prime is 52105759. The reversal of 52105752 is 25750125.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52105759) 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, 55624 + ... + 56552.

Almost surely, 2^52105752 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 52105752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76167000).

52105752 is an abundant number, since it is smaller than the sum of its proper divisors (100228248).

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

52105752 is a wasteful number, since it uses less digits than its factorization.

52105752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 52105752 is about 7218.4314085541. The cubic root of 52105752 is about 373.5039703239.

Adding to 52105752 its reverse (25750125), we get a palindrome (77855877).

The spelling of 52105752 in words is "fifty-two million, one hundred five thousand, seven hundred fifty-two".