256477622706553 has 2 divisors, whose sum is σ = 256477622706554. Its totient is φ = 256477622706552.

The previous prime is 256477622706551. The next prime is 256477622706587. The reversal of 256477622706553 is 355607226774652.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146376315537664 + 110101307168889 = 12098608^2 + 10492917^2 .

It is a cyclic number.

It is not a de Polignac number, because 256477622706553 - 2¹ = 256477622706551 is a prime.

Together with 256477622706551, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (256477622706551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128238811353276 + 128238811353277.

It is an arithmetic number, because the mean of its divisors is an integer number (128238811353277).

Almost surely, 2^{256477622706553} is an apocalyptic number.

It is an amenable number.

256477622706553 is a deficient number, since it is larger than the sum of its proper divisors (1).

256477622706553 is an equidigital number, since it uses as much as digits as its factorization.

256477622706553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 889056000, while the sum is 67.

The spelling of 256477622706553 in words is "two hundred fifty-six trillion, four hundred seventy-seven billion, six hundred twenty-two million, seven hundred six thousand, five hundred fifty-three".