33642544508249 has 2 divisors, whose sum is σ = 33642544508250. Its totient is φ = 33642544508248.

The previous prime is 33642544508219. The next prime is 33642544508257. The reversal of 33642544508249 is 94280544524633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26827479225625 + 6815065282624 = 5179525^2 + 2610568^2 .

It is a cyclic number.

It is not a de Polignac number, because 33642544508249 - 2⁴⁰ = 32543032880473 is a prime.

It is a super-2 number, since 2×33642544508249² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33642544508219) 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, 16821272254124 + 16821272254125.

It is an arithmetic number, because the mean of its divisors is an integer number (16821272254125).

Almost surely, 2^{33642544508249} is an apocalyptic number.

It is an amenable number.

33642544508249 is a deficient number, since it is larger than the sum of its proper divisors (1).

33642544508249 is an equidigital number, since it uses as much as digits as its factorization.

33642544508249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 99532800, while the sum is 59.

The spelling of 33642544508249 in words is "thirty-three trillion, six hundred forty-two billion, five hundred forty-four million, five hundred eight thousand, two hundred forty-nine".