252727542 has 96 divisors (see below), whose sum is σ = 611582400. Its totient is φ = 75018240.

The previous prime is 252727537. The next prime is 252727543. The reversal of 252727542 is 245727252.

252727542 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252727497 and 252727506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252727543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048542 + ... + 1048782.

It is an arithmetic number, because the mean of its divisors is an integer number (6370650).

Almost surely, 2^252727542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252727542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305791200).

252727542 is an abundant number, since it is smaller than the sum of its proper divisors (358854858).

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

252727542 is a wasteful number, since it uses less digits than its factorization.

252727542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 435 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 252727542 is about 15897.4067696590. The cubic root of 252727542 is about 632.2432351019.

The spelling of 252727542 in words is "two hundred fifty-two million, seven hundred twenty-seven thousand, five hundred forty-two".