256477700522401 has 4 divisors (see below), whose sum is σ = 257031648040192. Its totient is φ = 255923753004612.

The previous prime is 256477700522297. The next prime is 256477700522473. The reversal of 256477700522401 is 104225007774652.

256477700522401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256477700522401 is a prime.

It is a super-3 number, since 3×256477700522401³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256477700552401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276973758201 + ... + 276973759126.

It is an arithmetic number, because the mean of its divisors is an integer number (64257912010048).

Almost surely, 2^{256477700522401} is an apocalyptic number.

It is an amenable number.

256477700522401 is a deficient number, since it is larger than the sum of its proper divisors (553947517791).

256477700522401 is an equidigital number, since it uses as much as digits as its factorization.

256477700522401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553947517790.

The product of its (nonzero) digits is 6585600, while the sum is 52.

The spelling of 256477700522401 in words is "two hundred fifty-six trillion, four hundred seventy-seven billion, seven hundred million, five hundred twenty-two thousand, four hundred one".