264718125 has 140 divisors (see below), whose sum is σ = 573641376. Its totient is φ = 119556000.

The previous prime is 264718121. The next prime is 264718193. The reversal of 264718125 is 521817462.

264718125 is a `hidden beast` number, since 2 + 647 + 1 + 8 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 264718125 - 2² = 264718121 is a prime.

Its product of digits (26880) is a multiple of the sum of its prime factors (128).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 264718125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264718121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 3189334 + ... + 3189416.

Almost surely, 2^264718125 is an apocalyptic number.

264718125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264718125 is an abundant number, since it is smaller than the sum of its proper divisors (308923251).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264718125 is an frugal number, since it uses more digits than its factorization.

264718125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 264718125 is about 16270.1605708118. The cubic root of 264718125 is about 642.0880087226.

It can be divided in two parts, 26471 and 8125, that added together give a square (34596 = 186²).

The spelling of 264718125 in words is "two hundred sixty-four million, seven hundred eighteen thousand, one hundred twenty-five".