34251005133 has 24 divisors (see below), whose sum is σ = 50805630720. Its totient is φ = 22227397920.

The previous prime is 34251005111. The next prime is 34251005141. The reversal of 34251005133 is 33150015243.

34251005133 is a `hidden beast` number, since 3 + 42 + 5 + 100 + 513 + 3 = 666.

It is not a de Polignac number, because 34251005133 - 2⁶ = 34251005069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34251005097 and 34251005106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34251085133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288766 + ... + 389727.

It is an arithmetic number, because the mean of its divisors is an integer number (2116901280).

Almost surely, 2^34251005133 is an apocalyptic number.

It is an amenable number.

34251005133 is a deficient number, since it is larger than the sum of its proper divisors (16554625587).

34251005133 is a wasteful number, since it uses less digits than its factorization.

34251005133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678649 (or 678646 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 34251005133 in words is "thirty-four billion, two hundred fifty-one million, five thousand, one hundred thirty-three".