256753056251725 has 36 divisors (see below), whose sum is σ = 349950476736000. Its totient is φ = 186728200516000.

The previous prime is 256753056251723. The next prime is 256753056251771. The reversal of 256753056251725 is 527152650357652.

It is not a de Polignac number, because 256753056251725 - 2¹ = 256753056251723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256753056251723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 763980276 + ... + 764316274.

It is an arithmetic number, because the mean of its divisors is an integer number (9720846576000).

Almost surely, 2^{256753056251725} is an apocalyptic number.

256753056251725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256753056251725 is a deficient number, since it is larger than the sum of its proper divisors (93197420484275).

256753056251725 is a wasteful number, since it uses less digits than its factorization.

256753056251725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588642 (or 588626 counting only the distinct ones).

The product of its (nonzero) digits is 132300000, while the sum is 61.

The spelling of 256753056251725 in words is "two hundred fifty-six trillion, seven hundred fifty-three billion, fifty-six million, two hundred fifty-one thousand, seven hundred twenty-five".