256763073347751 has 16 divisors (see below), whose sum is σ = 342652516392960. Its totient is φ = 171024510016800.

The previous prime is 256763073347719. The next prime is 256763073347779. The reversal of 256763073347751 is 157743370367652.

256763073347751 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256763073347751 - 2⁵ = 256763073347719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256763073347701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302137905 + ... + 302986533.

It is an arithmetic number, because the mean of its divisors is an integer number (21415782274560).

Almost surely, 2^{256763073347751} is an apocalyptic number.

256763073347751 is a deficient number, since it is larger than the sum of its proper divisors (85889443045209).

256763073347751 is a wasteful number, since it uses less digits than its factorization.

256763073347751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937406.

The product of its (nonzero) digits is 466754400, while the sum is 66.

The spelling of 256763073347751 in words is "two hundred fifty-six trillion, seven hundred sixty-three billion, seventy-three million, three hundred forty-seven thousand, seven hundred fifty-one".