55505306010601 has 2 divisors, whose sum is σ = 55505306010602. Its totient is φ = 55505306010600.

The previous prime is 55505306010571. The next prime is 55505306010613. The reversal of 55505306010601 is 10601060350555.

55505306010601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54423079840000 + 1082226170601 = 7377200^2 + 1040301^2 .

It is a cyclic number.

It is not a de Polignac number, because 55505306010601 - 2¹³ = 55505306002409 is a prime.

It is a super-3 number, since 3×55505306010601³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (55505306010691) 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, 27752653005300 + 27752653005301.

It is an arithmetic number, because the mean of its divisors is an integer number (27752653005301).

Almost surely, 2^{55505306010601} is an apocalyptic number.

It is an amenable number.

55505306010601 is a deficient number, since it is larger than the sum of its proper divisors (1).

55505306010601 is an equidigital number, since it uses as much as digits as its factorization.

55505306010601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67500, while the sum is 37.

The spelling of 55505306010601 in words is "fifty-five trillion, five hundred five billion, three hundred six million, ten thousand, six hundred one".