252125906343 has 48 divisors (see below), whose sum is σ = 355696985088. Its totient is φ = 158802336000.

The previous prime is 252125906303. The next prime is 252125906381. The reversal of 252125906343 is 343609521252.

252125906343 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 252125906343 - 2¹² = 252125902247 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 252125906295 and 252125906304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252125906303) 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, 21821418 + ... + 21832968.

It is an arithmetic number, because the mean of its divisors is an integer number (7410353856).

Almost surely, 2^252125906343 is an apocalyptic number.

252125906343 is a deficient number, since it is larger than the sum of its proper divisors (103571078745).

252125906343 is a wasteful number, since it uses less digits than its factorization.

252125906343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11796 (or 11765 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 252125906343 in words is "two hundred fifty-two billion, one hundred twenty-five million, nine hundred six thousand, three hundred forty-three".