10725305552777 has 2 divisors, whose sum is σ = 10725305552778. Its totient is φ = 10725305552776.

The previous prime is 10725305552771. The next prime is 10725305552827. The reversal of 10725305552777 is 77725550352701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10549659904576 + 175645648201 = 3248024^2 + 419101^2 .

It is a cyclic number.

It is not a de Polignac number, because 10725305552777 - 2¹⁸ = 10725305290633 is a prime.

It is not a weakly prime, because it can be changed into another prime (10725305552771) 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, 5362652776388 + 5362652776389.

It is an arithmetic number, because the mean of its divisors is an integer number (5362652776389).

Almost surely, 2^{10725305552777} is an apocalyptic number.

It is an amenable number.

10725305552777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10725305552777 is an equidigital number, since it uses as much as digits as its factorization.

10725305552777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18007500, while the sum is 56.

The spelling of 10725305552777 in words is "ten trillion, seven hundred twenty-five billion, three hundred five million, five hundred fifty-two thousand, seven hundred seventy-seven".