34013053633 has 16 divisors (see below), whose sum is σ = 36796490752. Its totient is φ = 31253688000.

The previous prime is 34013053619. The next prime is 34013053667. The reversal of 34013053633 is 33635031043.

It is a cyclic number.

It is not a de Polignac number, because 34013053633 - 2⁹ = 34013053121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34013053595 and 34013053604.

It is not an unprimeable number, because it can be changed into a prime (34013053673) 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 in 15 ways as a sum of consecutive naturals, for example, 4861768 + ... + 4868758.

It is an arithmetic number, because the mean of its divisors is an integer number (2299780672).

Almost surely, 2^34013053633 is an apocalyptic number.

It is an amenable number.

34013053633 is a deficient number, since it is larger than the sum of its proper divisors (2783437119).

34013053633 is a wasteful number, since it uses less digits than its factorization.

34013053633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656.

The product of its (nonzero) digits is 29160, while the sum is 31.

Adding to 34013053633 its reverse (33635031043), we get a palindrome (67648084676).

The spelling of 34013053633 in words is "thirty-four billion, thirteen million, fifty-three thousand, six hundred thirty-three".