1256763825767 has 2 divisors, whose sum is σ = 1256763825768. Its totient is φ = 1256763825766.

The previous prime is 1256763825683. The next prime is 1256763825769. The reversal of 1256763825767 is 7675283676521.

It is a strong prime.

It is an emirp because it is prime and its reverse (7675283676521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1256763825767 - 2²⁰ = 1256762777191 is a prime.

Together with 1256763825769, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1256763825769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628381912883 + 628381912884.

It is an arithmetic number, because the mean of its divisors is an integer number (628381912884).

Almost surely, 2^{1256763825767} is an apocalyptic number.

1256763825767 is a deficient number, since it is larger than the sum of its proper divisors (1).

1256763825767 is an equidigital number, since it uses as much as digits as its factorization.

1256763825767 is an evil number, because the sum of its binary digits is even.

The product of its digits is 177811200, while the sum is 65.

The spelling of 1256763825767 in words is "one trillion, two hundred fifty-six billion, seven hundred sixty-three million, eight hundred twenty-five thousand, seven hundred sixty-seven".