5505101005601 has 2 divisors, whose sum is σ = 5505101005602. Its totient is φ = 5505101005600.

The previous prime is 5505101005549. The next prime is 5505101005661. The reversal of 5505101005601 is 1065001015055.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5427525387025 + 77575618576 = 2329705^2 + 278524^2 .

It is a cyclic number.

It is not a de Polignac number, because 5505101005601 - 2²⁶ = 5505033896737 is a prime.

It is a super-2 number, since 2×5505101005601² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5505101005661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2752550502800 + 2752550502801.

It is an arithmetic number, because the mean of its divisors is an integer number (2752550502801).

Almost surely, 2^{5505101005601} is an apocalyptic number.

It is an amenable number.

5505101005601 is a deficient number, since it is larger than the sum of its proper divisors (1).

5505101005601 is an equidigital number, since it uses as much as digits as its factorization.

5505101005601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 5505101005601 in words is "five trillion, five hundred five billion, one hundred one million, five thousand, six hundred one".