1065612016561 has 2 divisors, whose sum is σ = 1065612016562. Its totient is φ = 1065612016560.

The previous prime is 1065612016531. The next prime is 1065612016591. The reversal of 1065612016561 is 1656102165601.

It is a balanced prime because it is at equal distance from previous prime (1065612016531) and next prime (1065612016591).

It can be written as a sum of positive squares in only one way, i.e., 867284300961 + 198327715600 = 931281^2 + 445340^2 .

It is a cyclic number.

It is not a de Polignac number, because 1065612016561 - 2³⁵ = 1031252278193 is a prime.

It is a super-2 number, since 2×1065612016561² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1065612016531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 532806008280 + 532806008281.

It is an arithmetic number, because the mean of its divisors is an integer number (532806008281).

Almost surely, 2^{1065612016561} is an apocalyptic number.

It is an amenable number.

1065612016561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1065612016561 is an equidigital number, since it uses as much as digits as its factorization.

1065612016561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 1065612016561 in words is "one trillion, sixty-five billion, six hundred twelve million, sixteen thousand, five hundred sixty-one".