268653125 has 48 divisors (see below), whose sum is σ = 383881680. Its totient is φ = 186240000.

The previous prime is 268653101. The next prime is 268653169. The reversal of 268653125 is 521356862.

It can be written as a sum of positive squares in 24 ways, for example, as 197318209 + 71334916 = 14047^2 + 8446^2 .

It is not a de Polignac number, because 268653125 - 2²⁶ = 201544261 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690431 + ... + 690819.

It is an arithmetic number, because the mean of its divisors is an integer number (7997535).

Almost surely, 2^268653125 is an apocalyptic number.

268653125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268653125 is a deficient number, since it is larger than the sum of its proper divisors (115228555).

268653125 is an equidigital number, since it uses as much as digits as its factorization.

268653125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 268653125 is about 16390.6413846439. The cubic root of 268653125 is about 645.2538911941.

The spelling of 268653125 in words is "two hundred sixty-eight million, six hundred fifty-three thousand, one hundred twenty-five".