26384605012153 has 2 divisors, whose sum is σ = 26384605012154. Its totient is φ = 26384605012152.

The previous prime is 26384605012123. The next prime is 26384605012163. The reversal of 26384605012153 is 35121050648362.

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., 26264118271609 + 120486740544 = 5124853^2 + 347112^2 .

It is a cyclic number.

It is not a de Polignac number, because 26384605012153 - 2¹⁷ = 26384604881081 is a prime.

It is a super-2 number, since 2×26384605012153² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (26384605012123) 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, 13192302506076 + 13192302506077.

It is an arithmetic number, because the mean of its divisors is an integer number (13192302506077).

Almost surely, 2^{26384605012153} is an apocalyptic number.

It is an amenable number.

26384605012153 is a deficient number, since it is larger than the sum of its proper divisors (1).

26384605012153 is an equidigital number, since it uses as much as digits as its factorization.

26384605012153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 26384605012153 in words is "twenty-six trillion, three hundred eighty-four billion, six hundred five million, twelve thousand, one hundred fifty-three".