252813320146289 has 16 divisors (see below), whose sum is σ = 289218486905856. Its totient is φ = 216480410638800.

The previous prime is 252813320146267. The next prime is 252813320146291. The reversal of 252813320146289 is 982641023318252.

252813320146289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-252813320146289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252813320146259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246388814 + ... + 247412760.

It is an arithmetic number, because the mean of its divisors is an integer number (18076155431616).

Almost surely, 2^{252813320146289} is an apocalyptic number.

It is an amenable number.

252813320146289 is a deficient number, since it is larger than the sum of its proper divisors (36405166759567).

252813320146289 is a wasteful number, since it uses less digits than its factorization.

252813320146289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059196.

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 252813320146289 in words is "two hundred fifty-two trillion, eight hundred thirteen billion, three hundred twenty million, one hundred forty-six thousand, two hundred eighty-nine".