11777066013001 has 2 divisors, whose sum is σ = 11777066013002. Its totient is φ = 11777066013000.

The previous prime is 11777066012939. The next prime is 11777066013059. The reversal of 11777066013001 is 10031066077711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8442976262400 + 3334089750601 = 2905680^2 + 1825949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11777066013001 is a prime.

It is not a weakly prime, because it can be changed into another prime (11777066013071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5888533006500 + 5888533006501.

It is an arithmetic number, because the mean of its divisors is an integer number (5888533006501).

Almost surely, 2^{11777066013001} is an apocalyptic number.

It is an amenable number.

11777066013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11777066013001 is an equidigital number, since it uses as much as digits as its factorization.

11777066013001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37044, while the sum is 40.

The spelling of 11777066013001 in words is "eleven trillion, seven hundred seventy-seven billion, sixty-six million, thirteen thousand, one".