33839074432753 has 2 divisors, whose sum is σ = 33839074432754. Its totient is φ = 33839074432752.

The previous prime is 33839074432739. The next prime is 33839074432853. The reversal of 33839074432753 is 35723447093833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33838338287329 + 736145424 = 5817073^2 + 27132^2 .

It is a cyclic number.

It is not a de Polignac number, because 33839074432753 - 2²⁹ = 33838537561841 is a prime.

It is a super-2 number, since 2×33839074432753² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33839074432691 and 33839074432700.

It is not a weakly prime, because it can be changed into another prime (33839074432853) 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, 16919537216376 + 16919537216377.

It is an arithmetic number, because the mean of its divisors is an integer number (16919537216377).

Almost surely, 2^{33839074432753} is an apocalyptic number.

It is an amenable number.

33839074432753 is a deficient number, since it is larger than the sum of its proper divisors (1).

33839074432753 is an equidigital number, since it uses as much as digits as its factorization.

33839074432753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 137168640, while the sum is 61.

The spelling of 33839074432753 in words is "thirty-three trillion, eight hundred thirty-nine billion, seventy-four million, four hundred thirty-two thousand, seven hundred fifty-three".