7772563465801 has 2 divisors, whose sum is σ = 7772563465802. Its totient is φ = 7772563465800.

The previous prime is 7772563465759. The next prime is 7772563465817. The reversal of 7772563465801 is 1085643652777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7743552860176 + 29010605625 = 2782724^2 + 170325^2 .

It is a cyclic number.

It is not a de Polignac number, because 7772563465801 - 2³⁷ = 7635124512329 is a prime.

It is a super-3 number, since 3×7772563465801³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7772563465801.

It is not a weakly prime, because it can be changed into another prime (7772563565801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3886281732900 + 3886281732901.

It is an arithmetic number, because the mean of its divisors is an integer number (3886281732901).

Almost surely, 2^{7772563465801} is an apocalyptic number.

It is an amenable number.

7772563465801 is a deficient number, since it is larger than the sum of its proper divisors (1).

7772563465801 is an equidigital number, since it uses as much as digits as its factorization.

7772563465801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59270400, while the sum is 61.

The spelling of 7772563465801 in words is "seven trillion, seven hundred seventy-two billion, five hundred sixty-three million, four hundred sixty-five thousand, eight hundred one".