111264656065001 has 2 divisors, whose sum is σ = 111264656065002. Its totient is φ = 111264656065000.

The previous prime is 111264656064983. The next prime is 111264656065067. The reversal of 111264656065001 is 100560656462111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64455591923776 + 46809064141225 = 8028424^2 + 6841715^2 .

It is a cyclic number.

It is not a de Polignac number, because 111264656065001 - 2⁶ = 111264656064937 is a prime.

It is not a weakly prime, because it can be changed into another prime (111264656065091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55632328032500 + 55632328032501.

It is an arithmetic number, because the mean of its divisors is an integer number (55632328032501).

Almost surely, 2^{111264656065001} is an apocalyptic number.

It is an amenable number.

111264656065001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111264656065001 is an equidigital number, since it uses as much as digits as its factorization.

111264656065001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 111264656065001 in words is "one hundred eleven trillion, two hundred sixty-four billion, six hundred fifty-six million, sixty-five thousand, one".