10235765355553 has 2 divisors, whose sum is σ = 10235765355554. Its totient is φ = 10235765355552.

The previous prime is 10235765355533. The next prime is 10235765355593. The reversal of 10235765355553 is 35555356753201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9663468566544 + 572296789009 = 3108612^2 + 756503^2 .

It is a cyclic number.

It is not a de Polignac number, because 10235765355553 - 2²⁵ = 10235731801121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10235765355494 and 10235765355503.

It is not a weakly prime, because it can be changed into another prime (10235765355503) 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, 5117882677776 + 5117882677777.

It is an arithmetic number, because the mean of its divisors is an integer number (5117882677777).

Almost surely, 2^{10235765355553} is an apocalyptic number.

It is an amenable number.

10235765355553 is a deficient number, since it is larger than the sum of its proper divisors (1).

10235765355553 is an equidigital number, since it uses as much as digits as its factorization.

10235765355553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35437500, while the sum is 55.

The spelling of 10235765355553 in words is "ten trillion, two hundred thirty-five billion, seven hundred sixty-five million, three hundred fifty-five thousand, five hundred fifty-three".