3506561036081 has 2 divisors, whose sum is σ = 3506561036082. Its totient is φ = 3506561036080.

The previous prime is 3506561036047. The next prime is 3506561036117. The reversal of 3506561036081 is 1806301656053.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3100008147856 + 406552888225 = 1760684^2 + 637615^2 .

It is a cyclic number.

It is not a de Polignac number, because 3506561036081 - 2¹⁰ = 3506561035057 is a prime.

It is a super-2 number, since 2×3506561036081² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3526561036081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1753280518040 + 1753280518041.

It is an arithmetic number, because the mean of its divisors is an integer number (1753280518041).

Almost surely, 2^{3506561036081} is an apocalyptic number.

It is an amenable number.

3506561036081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3506561036081 is an equidigital number, since it uses as much as digits as its factorization.

3506561036081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 3506561036081 in words is "three trillion, five hundred six billion, five hundred sixty-one million, thirty-six thousand, eighty-one".