213677503345 has 16 divisors (see below), whose sum is σ = 259094909952. Its totient is φ = 169155937600.

The previous prime is 213677503337. The next prime is 213677503357. The reversal of 213677503345 is 543305776312.

213677503345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213677503345 - 2³ = 213677503337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213677503295 and 213677503304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804564 + ... + 1036666.

It is an arithmetic number, because the mean of its divisors is an integer number (16193431872).

Almost surely, 2^213677503345 is an apocalyptic number.

It is an amenable number.

213677503345 is a deficient number, since it is larger than the sum of its proper divisors (45417406607).

213677503345 is a wasteful number, since it uses less digits than its factorization.

213677503345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234032.

The product of its (nonzero) digits is 1587600, while the sum is 46.

The spelling of 213677503345 in words is "two hundred thirteen billion, six hundred seventy-seven million, five hundred three thousand, three hundred forty-five".