7712145805201 has 2 divisors, whose sum is σ = 7712145805202. Its totient is φ = 7712145805200.

The previous prime is 7712145805193. The next prime is 7712145805289. The reversal of 7712145805201 is 1025085412177.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4412201074576 + 3299944730625 = 2100524^2 + 1816575^2 .

It is a cyclic number.

It is not a de Polignac number, because 7712145805201 - 2³ = 7712145805193 is a prime.

It is not a weakly prime, because it can be changed into another prime (7712145805501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3856072902600 + 3856072902601.

It is an arithmetic number, because the mean of its divisors is an integer number (3856072902601).

Almost surely, 2^{7712145805201} is an apocalyptic number.

It is an amenable number.

7712145805201 is a deficient number, since it is larger than the sum of its proper divisors (1).

7712145805201 is an equidigital number, since it uses as much as digits as its factorization.

7712145805201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 156800, while the sum is 43.

The spelling of 7712145805201 in words is "seven trillion, seven hundred twelve billion, one hundred forty-five million, eight hundred five thousand, two hundred one".