55561010600401 has 2 divisors, whose sum is σ = 55561010600402. Its totient is φ = 55561010600400.

The previous prime is 55561010600317. The next prime is 55561010600423. The reversal of 55561010600401 is 10400601016555.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55342663740225 + 218346860176 = 7439265^2 + 467276^2 .

It is a cyclic number.

It is not a de Polignac number, because 55561010600401 - 2¹⁹ = 55561010076113 is a prime.

It is not a weakly prime, because it can be changed into another prime (55561010610401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27780505300200 + 27780505300201.

It is an arithmetic number, because the mean of its divisors is an integer number (27780505300201).

Almost surely, 2^{55561010600401} is an apocalyptic number.

It is an amenable number.

55561010600401 is a deficient number, since it is larger than the sum of its proper divisors (1).

55561010600401 is an equidigital number, since it uses as much as digits as its factorization.

55561010600401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 34.

Adding to 55561010600401 its reverse (10400601016555), we get a palindrome (65961611616956).

The spelling of 55561010600401 in words is "fifty-five trillion, five hundred sixty-one billion, ten million, six hundred thousand, four hundred one".