1055361352401 has 24 divisors (see below), whose sum is σ = 1630063102824. Its totient is φ = 655631193600.

The previous prime is 1055361352361. The next prime is 1055361352433. The reversal of 1055361352401 is 1042531635501.

1055361352401 is a `hidden beast` number, since 1 + 0 + 55 + 361 + 3 + 5 + 240 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 274577048001 + 780784304400 = 524001^2 + 883620^2 .

It is not a de Polignac number, because 1055361352401 - 2¹³ = 1055361344209 is a prime.

It is a super-2 number, since 2×1055361352401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055361332401) 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 in 23 ways as a sum of consecutive naturals, for example, 34132006 + ... + 34162911.

It is an arithmetic number, because the mean of its divisors is an integer number (67919295951).

Almost surely, 2^{1055361352401} is an apocalyptic number.

It is an amenable number.

1055361352401 is a deficient number, since it is larger than the sum of its proper divisors (574701750423).

1055361352401 is a wasteful number, since it uses less digits than its factorization.

1055361352401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68295041 (or 68295038 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 1055361352401 its reverse (1042531635501), we get a palindrome (2097892987902).

The spelling of 1055361352401 in words is "one trillion, fifty-five billion, three hundred sixty-one million, three hundred fifty-two thousand, four hundred one".