252513442105313 has 32 divisors (see below), whose sum is σ = 277379801395200. Its totient is φ = 229223569881600.

The previous prime is 252513442105307. The next prime is 252513442105319. The reversal of 252513442105313 is 313501244315252.

It is an interprime number because it is at equal distance from previous prime (252513442105307) and next prime (252513442105319).

It is not a de Polignac number, because 252513442105313 - 2¹⁶ = 252513442039777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252513442105319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5522906 + ... + 23141507.

It is an arithmetic number, because the mean of its divisors is an integer number (8668118793600).

Almost surely, 2^{252513442105313} is an apocalyptic number.

It is an amenable number.

252513442105313 is a deficient number, since it is larger than the sum of its proper divisors (24866359289887).

252513442105313 is a wasteful number, since it uses less digits than its factorization.

252513442105313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28664753.

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 252513442105313 in words is "two hundred fifty-two trillion, five hundred thirteen billion, four hundred forty-two million, one hundred five thousand, three hundred thirteen".