252165999693167 has 32 divisors (see below), whose sum is σ = 303703903027200. Its totient is φ = 204532636744800.

The previous prime is 252165999693143. The next prime is 252165999693227. The reversal of 252165999693167 is 761396999561252.

It is not a de Polignac number, because 252165999693167 - 2¹⁴ = 252165999676783 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252165999693091 and 252165999693100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252165999693367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5448798134 + ... + 5448844412.

It is an arithmetic number, because the mean of its divisors is an integer number (9490746969600).

Almost surely, 2^{252165999693167} is an apocalyptic number.

252165999693167 is a deficient number, since it is larger than the sum of its proper divisors (51537903334033).

252165999693167 is a wasteful number, since it uses less digits than its factorization.

252165999693167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92187.

The product of its digits is 2976069600, while the sum is 80.

The spelling of 252165999693167 in words is "two hundred fifty-two trillion, one hundred sixty-five billion, nine hundred ninety-nine million, six hundred ninety-three thousand, one hundred sixty-seven".