33873257813 has 2 divisors, whose sum is σ = 33873257814. Its totient is φ = 33873257812.

The previous prime is 33873257777. The next prime is 33873257839. The reversal of 33873257813 is 31875237833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33621623044 + 251634769 = 183362^2 + 15863^2 .

It is a cyclic number.

It is not a de Polignac number, because 33873257813 - 2³⁰ = 32799515989 is a prime.

It is a super-2 number, since 2×33873257813² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33873257213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16936628906 + 16936628907.

It is an arithmetic number, because the mean of its divisors is an integer number (16936628907).

Almost surely, 2^33873257813 is an apocalyptic number.

It is an amenable number.

33873257813 is a deficient number, since it is larger than the sum of its proper divisors (1).

33873257813 is an equidigital number, since it uses as much as digits as its factorization.

33873257813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2540160, while the sum is 50.

The spelling of 33873257813 in words is "thirty-three billion, eight hundred seventy-three million, two hundred fifty-seven thousand, eight hundred thirteen".