252603144 has 64 divisors (see below), whose sum is σ = 720662400. Its totient is φ = 81922752.

The previous prime is 252603083. The next prime is 252603151. The reversal of 252603144 is 441306252.

252603144 is a `hidden beast` number, since 2 + 52 + 603 + 1 + 4 + 4 = 666.

252603144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7812 + ... + 23795.

It is an arithmetic number, because the mean of its divisors is an integer number (11260350).

Almost surely, 2^252603144 is an apocalyptic number.

252603144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252603144 is an abundant number, since it is smaller than the sum of its proper divisors (468059256).

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

252603144 is a wasteful number, since it uses less digits than its factorization.

252603144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31659 (or 31649 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 252603144 is about 15893.4937631724. The cubic root of 252603144 is about 632.1394834473.

Adding to 252603144 its reverse (441306252), we get a palindrome (693909396).

The spelling of 252603144 in words is "two hundred fifty-two million, six hundred three thousand, one hundred forty-four".