264628125 has 54 divisors (see below), whose sum is σ = 482746446. Its totient is φ = 139680000.

The previous prime is 264628123. The next prime is 264628127. The reversal of 264628125 is 521826462.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

264628125 is a `hidden beast` number, since 2 + 6 + 4 + 628 + 1 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (264628123) and next prime (264628127).

It can be written as a sum of positive squares in 9 ways, for example, as 264582756 + 45369 = 16266^2 + 213^2 .

It is not a de Polignac number, because 264628125 - 2¹ = 264628123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264628125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264628123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2728077 + ... + 2728173.

It is an arithmetic number, because the mean of its divisors is an integer number (8939749).

Almost surely, 2^264628125 is an apocalyptic number.

264628125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264628125 is a deficient number, since it is larger than the sum of its proper divisors (218118321).

264628125 is an frugal number, since it uses more digits than its factorization.

264628125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 105 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 264628125 is about 16267.3945363110. The cubic root of 264628125 is about 642.0152338657.

Multiplying 264628125 by its product of digits (46080), we get a square (12194064000000 = 3492000²).

The spelling of 264628125 in words is "two hundred sixty-four million, six hundred twenty-eight thousand, one hundred twenty-five".