11019735511153 has 2 divisors, whose sum is σ = 11019735511154. Its totient is φ = 11019735511152.

The previous prime is 11019735511121. The next prime is 11019735511163. The reversal of 11019735511153 is 35111553791011.

11019735511153 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., 6166143181584 + 4853592329569 = 2483172^2 + 2203087^2 .

It is a cyclic number.

It is not a de Polignac number, because 11019735511153 - 2⁵ = 11019735511121 is a prime.

It is not a weakly prime, because it can be changed into another prime (11019735511163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5509867755576 + 5509867755577.

It is an arithmetic number, because the mean of its divisors is an integer number (5509867755577).

Almost surely, 2^{11019735511153} is an apocalyptic number.

It is an amenable number.

11019735511153 is a deficient number, since it is larger than the sum of its proper divisors (1).

11019735511153 is an equidigital number, since it uses as much as digits as its factorization.

11019735511153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70875, while the sum is 43.

The spelling of 11019735511153 in words is "eleven trillion, nineteen billion, seven hundred thirty-five million, five hundred eleven thousand, one hundred fifty-three".