1055060646401 has 2 divisors, whose sum is σ = 1055060646402. Its totient is φ = 1055060646400.

The previous prime is 1055060646389. The next prime is 1055060646413. The reversal of 1055060646401 is 1046460605501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1055060646389) and next prime (1055060646413).

It can be written as a sum of positive squares in only one way, i.e., 845112490000 + 209948156401 = 919300^2 + 458201^2 .

It is a cyclic number.

It is not a de Polignac number, because 1055060646401 - 2³⁴ = 1037880777217 is a prime.

It is a super-3 number, since 3×1055060646401³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1055060646461) 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, 527530323200 + 527530323201.

It is an arithmetic number, because the mean of its divisors is an integer number (527530323201).

Almost surely, 2^{1055060646401} is an apocalyptic number.

It is an amenable number.

1055060646401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1055060646401 is an equidigital number, since it uses as much as digits as its factorization.

1055060646401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 1055060646401 in words is "one trillion, fifty-five billion, sixty million, six hundred forty-six thousand, four hundred one".