481264558382401 has 2 divisors, whose sum is σ = 481264558382402. Its totient is φ = 481264558382400.

The previous prime is 481264558382383. The next prime is 481264558382453. The reversal of 481264558382401 is 104283855462184.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 345489022402225 + 135775535980176 = 18587335^2 + 11652276^2 .

It is a cyclic number.

It is not a de Polignac number, because 481264558382401 - 2⁵ = 481264558382369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 481264558382401.

It is not a weakly prime, because it can be changed into another prime (481264558382701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240632279191200 + 240632279191201.

It is an arithmetic number, because the mean of its divisors is an integer number (240632279191201).

Almost surely, 2^{481264558382401} is an apocalyptic number.

It is an amenable number.

481264558382401 is a deficient number, since it is larger than the sum of its proper divisors (1).

481264558382401 is an equidigital number, since it uses as much as digits as its factorization.

481264558382401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58982400, while the sum is 61.

The spelling of 481264558382401 in words is "four hundred eighty-one trillion, two hundred sixty-four billion, five hundred fifty-eight million, three hundred eighty-two thousand, four hundred one".