10753365310561 has 2 divisors, whose sum is σ = 10753365310562. Its totient is φ = 10753365310560.

The previous prime is 10753365310487. The next prime is 10753365310619. The reversal of 10753365310561 is 16501356335701.

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., 10744261288336 + 9104022225 = 3277844^2 + 95415^2 .

It is a cyclic number.

It is not a de Polignac number, because 10753365310561 - 2¹¹ = 10753365308513 is a prime.

It is not a weakly prime, because it can be changed into another prime (10753365310661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5376682655280 + 5376682655281.

It is an arithmetic number, because the mean of its divisors is an integer number (5376682655281).

Almost surely, 2^{10753365310561} is an apocalyptic number.

It is an amenable number.

10753365310561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10753365310561 is an equidigital number, since it uses as much as digits as its factorization.

10753365310561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 850500, while the sum is 46.

The spelling of 10753365310561 in words is "ten trillion, seven hundred fifty-three billion, three hundred sixty-five million, three hundred ten thousand, five hundred sixty-one".