256527443270657 has 8 divisors (see below), whose sum is σ = 281472782457384. Its totient is φ = 232326741074688.

The previous prime is 256527443270573. The next prime is 256527443270719. The reversal of 256527443270657 is 756072344725652.

It can be written as a sum of positive squares in 4 ways, for example, as 1228530608881 + 255298912661776 = 1108391^2 + 15978076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 256527443270657 - 2³⁰ = 256526369528833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 256527443270593 and 256527443270602.

It is not an unprimeable number, because it can be changed into a prime (256527443270957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186159246968 + ... + 186159248345.

It is an arithmetic number, because the mean of its divisors is an integer number (35184097807173).

Almost surely, 2^{256527443270657} is an apocalyptic number.

It is an amenable number.

256527443270657 is a deficient number, since it is larger than the sum of its proper divisors (24945339186727).

256527443270657 is a wasteful number, since it uses less digits than its factorization.

256527443270657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372318495379.

The product of its (nonzero) digits is 592704000, while the sum is 65.

The spelling of 256527443270657 in words is "two hundred fifty-six trillion, five hundred twenty-seven billion, four hundred forty-three million, two hundred seventy thousand, six hundred fifty-seven".