252467105 has 24 divisors (see below), whose sum is σ = 338514792. Its totient is φ = 180576000.

The previous prime is 252467099. The next prime is 252467161. The reversal of 252467105 is 501764252.

252467105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 246395809 = 2464^2 + 15697^2 .

It is not a de Polignac number, because 252467105 - 2⁸ = 252466849 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33485 + ... + 40325.

It is an arithmetic number, because the mean of its divisors is an integer number (14104783).

Almost surely, 2^252467105 is an apocalyptic number.

It is an amenable number.

252467105 is a deficient number, since it is larger than the sum of its proper divisors (86047687).

252467105 is a wasteful number, since it uses less digits than its factorization.

252467105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 252467105 is about 15889.2134795905. The cubic root of 252467105 is about 632.0259838500.

The spelling of 252467105 in words is "two hundred fifty-two million, four hundred sixty-seven thousand, one hundred five".