213311776575505 has 16 divisors (see below), whose sum is σ = 271037386403280. Its totient is φ = 160607692521472.

The previous prime is 213311776575481. The next prime is 213311776575509. The reversal of 213311776575505 is 505575677113312.

It can be written as a sum of positive squares in 8 ways, for example, as 97601674974736 + 115710101600769 = 9879356^2 + 10756863^2 .

It is a cyclic number.

It is not a de Polignac number, because 213311776575505 - 2¹⁷ = 213311776444433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213311776575505.

It is not an unprimeable number, because it can be changed into a prime (213311776575509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23662354 + ... + 31409083.

It is an arithmetic number, because the mean of its divisors is an integer number (16939836650205).

Almost surely, 2^{213311776575505} is an apocalyptic number.

It is an amenable number.

213311776575505 is a deficient number, since it is larger than the sum of its proper divisors (57725609827775).

213311776575505 is a wasteful number, since it uses less digits than its factorization.

213311776575505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55117028.

The product of its (nonzero) digits is 23152500, while the sum is 58.

The spelling of 213311776575505 in words is "two hundred thirteen trillion, three hundred eleven billion, seven hundred seventy-six million, five hundred seventy-five thousand, five hundred five".