256742754625 has 16 divisors (see below), whose sum is σ = 366188524416. Its totient is φ = 176052174000.

The previous prime is 256742754607. The next prime is 256742754641. The reversal of 256742754625 is 526457247652.

256742754625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256742754625 - 2¹³ = 256742746433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 146709271 + ... + 146711020.

It is an arithmetic number, because the mean of its divisors is an integer number (22886782776).

Almost surely, 2^256742754625 is an apocalyptic number.

256742754625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256742754625 is a deficient number, since it is larger than the sum of its proper divisors (109445769791).

256742754625 is an equidigital number, since it uses as much as digits as its factorization.

256742754625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293420313 (or 293420303 counting only the distinct ones).

The product of its digits is 28224000, while the sum is 55.

The spelling of 256742754625 in words is "two hundred fifty-six billion, seven hundred forty-two million, seven hundred fifty-four thousand, six hundred twenty-five".