34013536257 has 16 divisors (see below), whose sum is σ = 47124377600. Its totient is φ = 21798882000.

The previous prime is 34013536247. The next prime is 34013536259. The reversal of 34013536257 is 75263531043.

It is not a de Polignac number, because 34013536257 - 2⁷ = 34013536129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34013536259) 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, 1197007 + ... + 1225092.

It is an arithmetic number, because the mean of its divisors is an integer number (2945273600).

Almost surely, 2^34013536257 is an apocalyptic number.

It is an amenable number.

34013536257 is a deficient number, since it is larger than the sum of its proper divisors (13110841343).

34013536257 is a wasteful number, since it uses less digits than its factorization.

34013536257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422284.

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 34013536257 in words is "thirty-four billion, thirteen million, five hundred thirty-six thousand, two hundred fifty-seven".