256507767266567 has 8 divisors (see below), whose sum is σ = 271678290328800. Its totient is φ = 241346336523264.

The previous prime is 256507767266521. The next prime is 256507767266593. The reversal of 256507767266567 is 765662767705652.

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

It is a cyclic number.

It is not a de Polignac number, because 256507767266567 - 2¹⁴ = 256507767250183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256507767260567) 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, 2273021642 + ... + 2273134487.

It is an arithmetic number, because the mean of its divisors is an integer number (33959786291100).

Almost surely, 2^{256507767266567} is an apocalyptic number.

256507767266567 is a deficient number, since it is larger than the sum of its proper divisors (15170523062233).

256507767266567 is a wasteful number, since it uses less digits than its factorization.

256507767266567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546159465.

The product of its (nonzero) digits is 9335088000, while the sum is 77.

The spelling of 256507767266567 in words is "two hundred fifty-six trillion, five hundred seven billion, seven hundred sixty-seven million, two hundred sixty-six thousand, five hundred sixty-seven".