256742712727225 has 12 divisors (see below), whose sum is σ = 318396602809836. Its totient is φ = 205371177260480.

The previous prime is 256742712727219. The next prime is 256742712727229. The reversal of 256742712727225 is 522727217247652.

It can be written as a sum of positive squares in 6 ways, for example, as 23625636505641 + 233117076221584 = 4860621^2 + 15268172^2 .

It is not a de Polignac number, because 256742712727225 - 2³⁹ = 256192956913337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256742712727229) 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, 574595242 + ... + 575041891.

It is an arithmetic number, because the mean of its divisors is an integer number (26533050234153).

Almost surely, 2^{256742712727225} is an apocalyptic number.

256742712727225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256742712727225 is a deficient number, since it is larger than the sum of its proper divisors (61653890082611).

256742712727225 is a wasteful number, since it uses less digits than its factorization.

256742712727225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149646076 (or 1149646071 counting only the distinct ones).

The product of its digits is 92198400, while the sum is 61.

The spelling of 256742712727225 in words is "two hundred fifty-six trillion, seven hundred forty-two billion, seven hundred twelve million, seven hundred twenty-seven thousand, two hundred twenty-five".