272330216507313 has 24 divisors (see below), whose sum is σ = 394309248540480. Its totient is φ = 181118081427360.

The previous prime is 272330216507291. The next prime is 272330216507369. The reversal of 272330216507313 is 313705612033272.

272330216507313 is a `hidden beast` number, since 2 + 7 + 23 + 302 + 1 + 6 + 5 + 0 + 7 + 313 = 666.

It is not a de Polignac number, because 272330216507313 - 2⁵ = 272330216507281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (272330216507513) 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, 369087628 + ... + 369824738.

It is an arithmetic number, because the mean of its divisors is an integer number (16429552022520).

Almost surely, 2^{272330216507313} is an apocalyptic number.

It is an amenable number.

272330216507313 is a deficient number, since it is larger than the sum of its proper divisors (121979032033167).

272330216507313 is a wasteful number, since it uses less digits than its factorization.

272330216507313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835509 (or 835506 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 272330216507313 in words is "two hundred seventy-two trillion, three hundred thirty billion, two hundred sixteen million, five hundred seven thousand, three hundred thirteen".