252802803105 has 48 divisors (see below), whose sum is σ = 442841992320. Its totient is φ = 133398088704.

The previous prime is 252802803103. The next prime is 252802803119. The reversal of 252802803105 is 501308208252.

252802803105 is a `hidden beast` number, since 2 + 528 + 0 + 28 + 0 + 3 + 105 = 666.

252802803105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252802803105 - 2¹ = 252802803103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252802803105.

It is not an unprimeable number, because it can be changed into a prime (252802803103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19561836 + ... + 19574754.

It is an arithmetic number, because the mean of its divisors is an integer number (9225874840).

Almost surely, 2^252802803105 is an apocalyptic number.

It is an amenable number.

252802803105 is a deficient number, since it is larger than the sum of its proper divisors (190039189215).

252802803105 is a wasteful number, since it uses less digits than its factorization.

252802803105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17510 (or 17507 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 252802803105 in words is "two hundred fifty-two billion, eight hundred two million, eight hundred three thousand, one hundred five".