11835086126653 has 2 divisors, whose sum is σ = 11835086126654. Its totient is φ = 11835086126652.

The previous prime is 11835086126629. The next prime is 11835086126657. The reversal of 11835086126653 is 35662168053811.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9065717530489 + 2769368596164 = 3010933^2 + 1664142^2 .

It is a cyclic number.

It is not a de Polignac number, because 11835086126653 - 2³³ = 11826496192061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11835086126594 and 11835086126603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11835086126657) 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, 5917543063326 + 5917543063327.

It is an arithmetic number, because the mean of its divisors is an integer number (5917543063327).

Almost surely, 2^{11835086126653} is an apocalyptic number.

It is an amenable number.

11835086126653 is a deficient number, since it is larger than the sum of its proper divisors (1).

11835086126653 is an equidigital number, since it uses as much as digits as its factorization.

11835086126653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 11835086126653 in words is "eleven trillion, eight hundred thirty-five billion, eighty-six million, one hundred twenty-six thousand, six hundred fifty-three".