1055505601061 has 2 divisors, whose sum is σ = 1055505601062. Its totient is φ = 1055505601060.

The previous prime is 1055505601057. The next prime is 1055505601069. The reversal of 1055505601061 is 1601065055501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 737398320961 + 318107280100 = 858719^2 + 564010^2 .

It is a cyclic number.

It is not a de Polignac number, because 1055505601061 - 2² = 1055505601057 is a prime.

It is a super-2 number, since 2×1055505601061² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1055505601069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527752800530 + 527752800531.

It is an arithmetic number, because the mean of its divisors is an integer number (527752800531).

Almost surely, 2^{1055505601061} is an apocalyptic number.

It is an amenable number.

1055505601061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1055505601061 is an equidigital number, since it uses as much as digits as its factorization.

1055505601061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 1055505601061 in words is "one trillion, fifty-five billion, five hundred five million, six hundred one thousand, sixty-one".