505505554601 has 2 divisors, whose sum is σ = 505505554602. Its totient is φ = 505505554600.

The previous prime is 505505554511. The next prime is 505505554607. The reversal of 505505554601 is 106455505505.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 443442787225 + 62062767376 = 665915^2 + 249124^2 .

It is a cyclic number.

It is not a de Polignac number, because 505505554601 - 2³⁰ = 504431812777 is a prime.

It is not a weakly prime, because it can be changed into another prime (505505554607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252752777300 + 252752777301.

It is an arithmetic number, because the mean of its divisors is an integer number (252752777301).

Almost surely, 2^505505554601 is an apocalyptic number.

It is an amenable number.

505505554601 is a deficient number, since it is larger than the sum of its proper divisors (1).

505505554601 is an equidigital number, since it uses as much as digits as its factorization.

505505554601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 375000, while the sum is 41.

The spelling of 505505554601 in words is "five hundred five billion, five hundred five million, five hundred fifty-four thousand, six hundred one".