213506432653345 has 32 divisors (see below), whose sum is σ = 293875035461280. Its totient is φ = 148391801026560.

The previous prime is 213506432653331. The next prime is 213506432653369. The reversal of 213506432653345 is 543356234605312.

It can be written as a sum of positive squares in 16 ways, for example, as 139869319076496 + 73637113576849 = 11826636^2 + 8581207^2 .

It is not a de Polignac number, because 213506432653345 - 2¹⁵ = 213506432620577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213506432653292 and 213506432653301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571465596 + ... + 571839085.

It is an arithmetic number, because the mean of its divisors is an integer number (9183594858165).

Almost surely, 2^{213506432653345} is an apocalyptic number.

It is an amenable number.

213506432653345 is a deficient number, since it is larger than the sum of its proper divisors (80368602807935).

213506432653345 is a wasteful number, since it uses less digits than its factorization.

213506432653345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143304742 (or 1143304716 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 52.

The spelling of 213506432653345 in words is "two hundred thirteen trillion, five hundred six billion, four hundred thirty-two million, six hundred fifty-three thousand, three hundred forty-five".