555506006401 has 2 divisors, whose sum is σ = 555506006402. Its totient is φ = 555506006400.

The previous prime is 555506006381. The next prime is 555506006417. The reversal of 555506006401 is 104600605555.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 536351169600 + 19154836801 = 732360^2 + 138401^2 .

It is a cyclic number.

It is not a de Polignac number, because 555506006401 - 2³⁵ = 521146268033 is a prime.

It is not a weakly prime, because it can be changed into another prime (555506006701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 277753003200 + 277753003201.

It is an arithmetic number, because the mean of its divisors is an integer number (277753003201).

Almost surely, 2^555506006401 is an apocalyptic number.

It is an amenable number.

555506006401 is a deficient number, since it is larger than the sum of its proper divisors (1).

555506006401 is an equidigital number, since it uses as much as digits as its factorization.

555506006401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 555506006401 in words is "five hundred fifty-five billion, five hundred six million, six thousand, four hundred one".