256603125 has 48 divisors (see below), whose sum is σ = 433472256. Its totient is φ = 135000000.

The previous prime is 256603093. The next prime is 256603129. The reversal of 256603125 is 521306652.

It is not a de Polignac number, because 256603125 - 2⁵ = 256603093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 256603092 and 256603101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256603129) 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 47 ways as a sum of consecutive naturals, for example, 946740 + ... + 947010.

It is an arithmetic number, because the mean of its divisors is an integer number (9030672).

Almost surely, 2^256603125 is an apocalyptic number.

256603125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256603125 is a deficient number, since it is larger than the sum of its proper divisors (176869131).

256603125 is an equidigital number, since it uses as much as digits as its factorization.

256603125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 256603125 is about 16018.8365682405. The cubic root of 256603125 is about 635.4586761918.

Adding to 256603125 its reverse (521306652), we get a palindrome (777909777).

The spelling of 256603125 in words is "two hundred fifty-six million, six hundred three thousand, one hundred twenty-five".