345513505305153 has 24 divisors (see below), whose sum is σ = 468643897356448. Its totient is φ = 226429210038528.

The previous prime is 345513505305149. The next prime is 345513505305173. The reversal of 345513505305153 is 351503505315543.

It is not a de Polignac number, because 345513505305153 - 2² = 345513505305149 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345513505305173) 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, 266726001 + ... + 268018257.

Almost surely, 2^{345513505305153} is an apocalyptic number.

It is an amenable number.

345513505305153 is a deficient number, since it is larger than the sum of its proper divisors (123130392051295).

345513505305153 is a wasteful number, since it uses less digits than its factorization.

345513505305153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317981 (or 1317922 counting only the distinct ones).

The product of its (nonzero) digits is 5062500, while the sum is 48.

The spelling of 345513505305153 in words is "three hundred forty-five trillion, five hundred thirteen billion, five hundred five million, three hundred five thousand, one hundred fifty-three".