26105202200993 has 2 divisors, whose sum is σ = 26105202200994. Its totient is φ = 26105202200992.

The previous prime is 26105202200941. The next prime is 26105202201031. The reversal of 26105202200993 is 39900220250162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23452789324864 + 2652412876129 = 4842808^2 + 1628623^2 .

It is a cyclic number.

It is not a de Polignac number, because 26105202200993 - 2¹⁴ = 26105202184609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26105202200993.

It is not a weakly prime, because it can be changed into another prime (26105202200933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13052601100496 + 13052601100497.

It is an arithmetic number, because the mean of its divisors is an integer number (13052601100497).

Almost surely, 2^{26105202200993} is an apocalyptic number.

It is an amenable number.

26105202200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

26105202200993 is an equidigital number, since it uses as much as digits as its factorization.

26105202200993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 26105202200993 in words is "twenty-six trillion, one hundred five billion, two hundred two million, two hundred thousand, nine hundred ninety-three".