256303125 has 72 divisors (see below), whose sum is σ = 499046184. Its totient is φ = 126000000.

The previous prime is 256303121. The next prime is 256303129. The reversal of 256303125 is 521303652.

256303125 is a `hidden beast` number, since 2 + 5 + 630 + 3 + 1 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (256303121) and next prime (256303129).

It can be written as a sum of positive squares in 12 ways, for example, as 255776049 + 527076 = 15993^2 + 726^2 .

It is not a de Polignac number, because 256303125 - 2² = 256303121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256303121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365275 + ... + 365975.

It is an arithmetic number, because the mean of its divisors is an integer number (6931197).

Almost surely, 2^256303125 is an apocalyptic number.

256303125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256303125 is a deficient number, since it is larger than the sum of its proper divisors (242743059).

256303125 is an equidigital number, since it uses as much as digits as its factorization.

256303125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 256303125 is about 16009.4698538084. The cubic root of 256303125 is about 635.2109370110.

Adding to 256303125 its reverse (521303652), we get a palindrome (777606777).

The spelling of 256303125 in words is "two hundred fifty-six million, three hundred three thousand, one hundred twenty-five".