256314325 has 24 divisors (see below), whose sum is σ = 330057000. Its totient is φ = 197218560.

The previous prime is 256314319. The next prime is 256314343. The reversal of 256314325 is 523413652.

256314325 = 223² + 224² + ... + 920².

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 124500964 + 131813361 = 11158^2 + 11481^2 .

It is not a de Polignac number, because 256314325 - 2⁷ = 256314197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252519 + ... + 253531.

It is an arithmetic number, because the mean of its divisors is an integer number (13752375).

Almost surely, 2^256314325 is an apocalyptic number.

256314325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256314325 is a deficient number, since it is larger than the sum of its proper divisors (73742675).

256314325 is a wasteful number, since it uses less digits than its factorization.

256314325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1396 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 256314325 is about 16009.8196429566. The cubic root of 256314325 is about 635.2201894133.

Adding to 256314325 its reverse (523413652), we get a palindrome (779727977).

The spelling of 256314325 in words is "two hundred fifty-six million, three hundred fourteen thousand, three hundred twenty-five".