33507742813 has 2 divisors, whose sum is σ = 33507742814. Its totient is φ = 33507742812.

The previous prime is 33507742811. The next prime is 33507742823. The reversal of 33507742813 is 31824770533.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19570051449 + 13937691364 = 139893^2 + 118058^2 .

It is a cyclic number.

It is not a de Polignac number, because 33507742813 - 2¹ = 33507742811 is a prime.

It is a super-2 number, since 2×33507742813² (a number of 22 digits) contains 22 as substring.

Together with 33507742811, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 33507742813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33507742811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16753871406 + 16753871407.

It is an arithmetic number, because the mean of its divisors is an integer number (16753871407).

Almost surely, 2^33507742813 is an apocalyptic number.

It is an amenable number.

33507742813 is a deficient number, since it is larger than the sum of its proper divisors (1).

33507742813 is an equidigital number, since it uses as much as digits as its factorization.

33507742813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 33507742813 in words is "thirty-three billion, five hundred seven million, seven hundred forty-two thousand, eight hundred thirteen".