264165625 has 12 divisors (see below), whose sum is σ = 330189804. Its totient is φ = 211330000.

The previous prime is 264165623. The next prime is 264165679. The reversal of 264165625 is 526561462.

It can be written as a sum of positive squares in 6 ways, for example, as 252523881 + 11641744 = 15891^2 + 3412^2 .

It is not a de Polignac number, because 264165625 - 2¹ = 264165623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264165623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39142 + ... + 45391.

It is an arithmetic number, because the mean of its divisors is an integer number (27515817).

Almost surely, 2^264165625 is an apocalyptic number.

264165625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264165625 is a deficient number, since it is larger than the sum of its proper divisors (66024179).

264165625 is an frugal number, since it uses more digits than its factorization.

264165625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84558 (or 84538 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 264165625 is about 16253.1727671861. The cubic root of 264165625 is about 641.6409914578.

It can be divided in two parts, 26416 and 5625, that added together give a square (32041 = 179²).

The spelling of 264165625 in words is "two hundred sixty-four million, one hundred sixty-five thousand, six hundred twenty-five".