2107597216319 has 32 divisors (see below), whose sum is σ = 2441703242880. Its totient is φ = 1781937819648.

The previous prime is 2107597216279. The next prime is 2107597216343. The reversal of 2107597216319 is 9136127957012.

It is not a de Polignac number, because 2107597216319 - 2¹⁶ = 2107597150783 is a prime.

It is a super-2 number, since 2×2107597216319² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107597216369) 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, 156610439 + ... + 156623895.

It is an arithmetic number, because the mean of its divisors is an integer number (76303226340).

Almost surely, 2^{2107597216319} is an apocalyptic number.

2107597216319 is a deficient number, since it is larger than the sum of its proper divisors (334106026561).

2107597216319 is a wasteful number, since it uses less digits than its factorization.

2107597216319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14627.

The product of its (nonzero) digits is 1428840, while the sum is 53.

The spelling of 2107597216319 in words is "two trillion, one hundred seven billion, five hundred ninety-seven million, two hundred sixteen thousand, three hundred nineteen".