264875625 has 135 divisors (see below), whose sum is σ = 574669953. Its totient is φ = 117180000.

The previous prime is 264875587. The next prime is 264875627. The reversal of 264875625 is 526578462.

The square root of 264875625 is 16275.

It is a perfect power (a square), and thus also a powerful number.

264875625 is a `hidden beast` number, since 2 + 6 + 4 + 87 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20766249 + 244109376 = 4557^2 + 15624^2 .

It is not a de Polignac number, because 264875625 - 2²⁷ = 130657897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (264875627) 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 134 ways as a sum of consecutive naturals, for example, 8544360 + ... + 8544390.

Almost surely, 2^264875625 is an apocalyptic number.

264875625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

264875625 is the 16275-th square number.

264875625 is the 8138-th centered octagonal number.

It is an amenable number.

264875625 is an abundant number, since it is smaller than the sum of its proper divisors (309794328).

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

264875625 is an equidigital number, since it uses as much as digits as its factorization.

264875625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 46 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The cubic root of 264875625 is about 642.2153250415.

The spelling of 264875625 in words is "two hundred sixty-four million, eight hundred seventy-five thousand, six hundred twenty-five".