1056065102261 has 16 divisors (see below), whose sum is σ = 1205213733360. Its totient is φ = 918258055680.

The previous prime is 1056065102227. The next prime is 1056065102269. The reversal of 1056065102261 is 1622015606501.

It can be written as a sum of positive squares in 8 ways, for example, as 96901464100 + 959163638161 = 311290^2 + 979369^2 .

It is a cyclic number.

It is not a de Polignac number, because 1056065102261 - 2²⁶ = 1055997993397 is a prime.

It is a super-2 number, since 2×1056065102261² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056065102269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34145930 + ... + 34176843.

It is an arithmetic number, because the mean of its divisors is an integer number (75325858335).

Almost surely, 2^{1056065102261} is an apocalyptic number.

It is an amenable number.

1056065102261 is a deficient number, since it is larger than the sum of its proper divisors (149148631099).

1056065102261 is a wasteful number, since it uses less digits than its factorization.

1056065102261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68322856.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 1056065102261 in words is "one trillion, fifty-six billion, sixty-five million, one hundred two thousand, two hundred sixty-one".