252567105 has 32 divisors (see below), whose sum is σ = 462495744. Its totient is φ = 115294656.

The previous prime is 252567103. The next prime is 252567109. The reversal of 252567105 is 501765252.

It is not a de Polignac number, because 252567105 - 2¹ = 252567103 is a prime.

It is a super-3 number, since 3×252567105³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (252567103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101992 + ... + 104438.

It is an arithmetic number, because the mean of its divisors is an integer number (14452992).

Almost surely, 2^252567105 is an apocalyptic number.

It is an amenable number.

252567105 is a deficient number, since it is larger than the sum of its proper divisors (209928639).

252567105 is a wasteful number, since it uses less digits than its factorization.

252567105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445.

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 252567105 is about 15892.3599569101. The cubic root of 252567105 is about 632.1094194795.

The spelling of 252567105 in words is "two hundred fifty-two million, five hundred sixty-seven thousand, one hundred five".