34052105313 has 12 divisors (see below), whose sum is σ = 50232893568. Its totient is φ = 22218394680.

The previous prime is 34052105303. The next prime is 34052105369. The reversal of 34052105313 is 31350125043.

34052105313 is a `hidden beast` number, since 340 + 5 + 2 + 1 + 0 + 5 + 313 = 666.

It is not a de Polignac number, because 34052105313 - 2⁶ = 34052105249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34052105303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40250293 + ... + 40251138.

It is an arithmetic number, because the mean of its divisors is an integer number (4186074464).

Almost surely, 2^34052105313 is an apocalyptic number.

It is an amenable number.

34052105313 is a deficient number, since it is larger than the sum of its proper divisors (16180788255).

34052105313 is a wasteful number, since it uses less digits than its factorization.

34052105313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80501484 (or 80501481 counting only the distinct ones).

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

The spelling of 34052105313 in words is "thirty-four billion, fifty-two million, one hundred five thousand, three hundred thirteen".