52635312 has 120 divisors (see below), whose sum is σ = 157021200. Its totient is φ = 16879104.

The previous prime is 52635221. The next prime is 52635313. The reversal of 52635312 is 21353625.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5400) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (52635313) 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 23 ways as a sum of consecutive naturals, for example, 591364 + ... + 591452.

It is an arithmetic number, because the mean of its divisors is an integer number (1308510).

Almost surely, 2^52635312 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 52635312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78510600).

52635312 is an abundant number, since it is smaller than the sum of its proper divisors (104385888).

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

52635312 is a wasteful number, since it uses less digits than its factorization.

52635312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 131 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 52635312 is about 7255.0197794355. The cubic root of 52635312 is about 374.7650368102.

Adding to 52635312 its reverse (21353625), we get a palindrome (73988937).

The spelling of 52635312 in words is "fifty-two million, six hundred thirty-five thousand, three hundred twelve".