256101570729 has 12 divisors (see below), whose sum is σ = 370258071300. Its totient is φ = 170580420384.

The previous prime is 256101570691. The next prime is 256101570773. The reversal of 256101570729 is 927075101652.

256101570729 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 0 + 1 + 570 + 72 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102396800025 + 153704770704 = 319995^2 + 392052^2 .

It is not a de Polignac number, because 256101570729 - 2⁷ = 256101570601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256101570229) 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, 12819474 + ... + 12839435.

It is an arithmetic number, because the mean of its divisors is an integer number (30854839275).

Almost surely, 2^256101570729 is an apocalyptic number.

It is an amenable number.

256101570729 is a deficient number, since it is larger than the sum of its proper divisors (114156500571).

256101570729 is a wasteful number, since it uses less digits than its factorization.

256101570729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25660024 (or 25660021 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 256101570729 in words is "two hundred fifty-six billion, one hundred one million, five hundred seventy thousand, seven hundred twenty-nine".