10485629753 has 2 divisors, whose sum is σ = 10485629754. Its totient is φ = 10485629752.

The previous prime is 10485629729. The next prime is 10485629761. The reversal of 10485629753 is 35792658401.

It is a happy number.

10485629753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7393936144 + 3091693609 = 85988^2 + 55603^2 .

It is an emirp because it is prime and its reverse (35792658401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10485629753 - 2¹⁰ = 10485628729 is a prime.

It is not a weakly prime, because it can be changed into another prime (10485629773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5242814876 + 5242814877.

It is an arithmetic number, because the mean of its divisors is an integer number (5242814877).

It is a 1-persistent number, because it is pandigital, but 2⋅10485629753 = 20971259506 is not.

Almost surely, 2^10485629753 is an apocalyptic number.

It is an amenable number.

10485629753 is a deficient number, since it is larger than the sum of its proper divisors (1).

10485629753 is an equidigital number, since it uses as much as digits as its factorization.

10485629753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 10485629753 in words is "ten billion, four hundred eighty-five million, six hundred twenty-nine thousand, seven hundred fifty-three".