256742706606125 has 16 divisors (see below), whose sum is σ = 320429467575984. Its totient is φ = 205384825713600.

The previous prime is 256742706606079. The next prime is 256742706606137. The reversal of 256742706606125 is 521606607247652.

It can be written as a sum of positive squares in 8 ways, for example, as 110183524023556 + 146559182582569 = 10496834^2 + 12106163^2 .

It is not a de Polignac number, because 256742706606125 - 2²⁰ = 256742705557549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43937234 + ... + 49436483.

It is an arithmetic number, because the mean of its divisors is an integer number (20026841723499).

Almost surely, 2^{256742706606125} is an apocalyptic number.

256742706606125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256742706606125 is a deficient number, since it is larger than the sum of its proper divisors (63686760969859).

256742706606125 is an equidigital number, since it uses as much as digits as its factorization.

256742706606125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93395729 (or 93395719 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 59.

The spelling of 256742706606125 in words is "two hundred fifty-six trillion, seven hundred forty-two billion, seven hundred six million, six hundred six thousand, one hundred twenty-five".