256742712730625 has 80 divisors (see below), whose sum is σ = 351013324780800. Its totient is φ = 186177492480000.

The previous prime is 256742712730601. The next prime is 256742712730709. The reversal of 256742712730625 is 526037217247652.

It is not a de Polignac number, because 256742712730625 - 2¹² = 256742712726529 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4590155159 + ... + 4590211091.

It is an arithmetic number, because the mean of its divisors is an integer number (4387666559760).

Almost surely, 2^{256742712730625} is an apocalyptic number.

256742712730625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256742712730625 is a deficient number, since it is larger than the sum of its proper divisors (94270612050175).

256742712730625 is a wasteful number, since it uses less digits than its factorization.

256742712730625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57900 (or 57885 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 59.

The spelling of 256742712730625 in words is "two hundred fifty-six trillion, seven hundred forty-two billion, seven hundred twelve million, seven hundred thirty thousand, six hundred twenty-five".