252753105 has 64 divisors (see below), whose sum is σ = 477158400. Its totient is φ = 112907520.

The previous prime is 252753101. The next prime is 252753197. The reversal of 252753105 is 501357252.

It is not a de Polignac number, because 252753105 - 2² = 252753101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252753101) 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 63 ways as a sum of consecutive naturals, for example, 114906 + ... + 117084.

It is an arithmetic number, because the mean of its divisors is an integer number (7455600).

Almost surely, 2^252753105 is an apocalyptic number.

It is an amenable number.

252753105 is a deficient number, since it is larger than the sum of its proper divisors (224405295).

252753105 is a wasteful number, since it uses less digits than its factorization.

252753105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254.

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 252753105 is about 15898.2107483830. The cubic root of 252753105 is about 632.2645511916.

It can be divided in two parts, 252 and 753105, that added together give a palindrome (753357).

The spelling of 252753105 in words is "two hundred fifty-two million, seven hundred fifty-three thousand, one hundred five".