477800577860401 has 2 divisors, whose sum is σ = 477800577860402. Its totient is φ = 477800577860400.

The previous prime is 477800577860399. The next prime is 477800577860581. The reversal of 477800577860401 is 104068775008774.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 438477946218225 + 39322631642176 = 20939865^2 + 6270776^2 .

It is a cyclic number.

It is not a de Polignac number, because 477800577860401 - 2¹ = 477800577860399 is a prime.

Together with 477800577860399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (477800577860201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 238900288930200 + 238900288930201.

It is an arithmetic number, because the mean of its divisors is an integer number (238900288930201).

Almost surely, 2^{477800577860401} is an apocalyptic number.

It is an amenable number.

477800577860401 is a deficient number, since it is larger than the sum of its proper divisors (1).

477800577860401 is an equidigital number, since it uses as much as digits as its factorization.

477800577860401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73758720, while the sum is 64.

The spelling of 477800577860401 in words is "four hundred seventy-seven trillion, eight hundred billion, five hundred seventy-seven million, eight hundred sixty thousand, four hundred one".