10165661282753 has 2 divisors, whose sum is σ = 10165661282754. Its totient is φ = 10165661282752.

The previous prime is 10165661282741. The next prime is 10165661282759. The reversal of 10165661282753 is 35728216656101.

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., 8617647549889 + 1548013732864 = 2935583^2 + 1244192^2 .

It is an emirp because it is prime and its reverse (35728216656101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10165661282753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10165661282695 and 10165661282704.

It is not a weakly prime, because it can be changed into another prime (10165661282759) 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, 5082830641376 + 5082830641377.

It is an arithmetic number, because the mean of its divisors is an integer number (5082830641377).

Almost surely, 2^{10165661282753} is an apocalyptic number.

It is an amenable number.

10165661282753 is a deficient number, since it is larger than the sum of its proper divisors (1).

10165661282753 is an equidigital number, since it uses as much as digits as its factorization.

10165661282753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 10165661282753 in words is "ten trillion, one hundred sixty-five billion, six hundred sixty-one million, two hundred eighty-two thousand, seven hundred fifty-three".