1056051105601 has 8 divisors (see below), whose sum is σ = 1084656259944. Its totient is φ = 1027449279360.

The previous prime is 1056051105589. The next prime is 1056051105631. The reversal of 1056051105601 is 1065011506501.

1056051105601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 399341844225 + 656709261376 = 631935^2 + 810376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1056051105601 - 2¹⁵ = 1056051072833 is a prime.

It is a super-2 number, since 2×1056051105601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1056051105631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182020 + ... + 1464661.

It is an arithmetic number, because the mean of its divisors is an integer number (135582032493).

Almost surely, 2^{1056051105601} is an apocalyptic number.

It is an amenable number.

1056051105601 is a deficient number, since it is larger than the sum of its proper divisors (28605154343).

1056051105601 is a wasteful number, since it uses less digits than its factorization.

1056051105601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664051.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 1056051105601 in words is "one trillion, fifty-six billion, fifty-one million, one hundred five thousand, six hundred one".