34252055020017 has 32 divisors (see below), whose sum is σ = 52973375212800. Its totient is φ = 21832263040896.

The previous prime is 34252055020003. The next prime is 34252055020033. The reversal of 34252055020017 is 71002055025243.

34252055020017 is a `hidden beast` number, since 3 + 42 + 52 + 0 + 550 + 2 + 0 + 0 + 17 = 666.

It is not a de Polignac number, because 34252055020017 - 2¹¹ = 34252055017969 is a prime.

It is a super-3 number, since 3×34252055020017³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34252055020817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10745268 + ... + 13563365.

It is an arithmetic number, because the mean of its divisors is an integer number (1655417975400).

Almost surely, 2^{34252055020017} is an apocalyptic number.

It is an amenable number.

34252055020017 is a deficient number, since it is larger than the sum of its proper divisors (18721320192783).

34252055020017 is a wasteful number, since it uses less digits than its factorization.

34252055020017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24310934 (or 24310928 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 34252055020017 in words is "thirty-four trillion, two hundred fifty-two billion, fifty-five million, twenty thousand, seventeen".