10725305552749 has 2 divisors, whose sum is σ = 10725305552750. Its totient is φ = 10725305552748.

The previous prime is 10725305552707. The next prime is 10725305552771. The reversal of 10725305552749 is 94725550352701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9500480821225 + 1224824731524 = 3082285^2 + 1106718^2 .

It is a cyclic number.

It is not a de Polignac number, because 10725305552749 - 2⁹ = 10725305552237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10725305552749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10725305522749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5362652776374 + 5362652776375.

It is an arithmetic number, because the mean of its divisors is an integer number (5362652776375).

Almost surely, 2^{10725305552749} is an apocalyptic number.

It is an amenable number.

10725305552749 is a deficient number, since it is larger than the sum of its proper divisors (1).

10725305552749 is an equidigital number, since it uses as much as digits as its factorization.

10725305552749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230000, while the sum is 55.

The spelling of 10725305552749 in words is "ten trillion, seven hundred twenty-five billion, three hundred five million, five hundred fifty-two thousand, seven hundred forty-nine".