214088513809 has 3 divisors (see below), whose sum is σ = 214088976507. Its totient is φ = 214088051112.

The previous prime is 214088513803. The next prime is 214088513879. The reversal of 214088513809 is 908315880412.

It is a happy number.

The square root of 214088513809 is 462697.

It is a perfect power (a square), and thus also a powerful number.

214088513809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 134523900625 + 79564613184 = 366775^2 + 282072^2 .

It is not a de Polignac number, because 214088513809 - 2¹¹ = 214088511761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214088513803) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 231349 + ... + 694045.

It is an arithmetic number, because the mean of its divisors is an integer number (71362992169).

Almost surely, 2^214088513809 is an apocalyptic number.

214088513809 is the 462697-th square number.

214088513809 is the 231349-th centered octagonal number.

It is an amenable number.

214088513809 is a deficient number, since it is larger than the sum of its proper divisors (462698).

214088513809 is an frugal number, since it uses more digits than its factorization.

214088513809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925394 (or 462697 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

Multiplying 214088513809 by its sum of digits (49), we get a square (10490337176641 = 3238879²).

The spelling of 214088513809 in words is "two hundred fourteen billion, eighty-eight million, five hundred thirteen thousand, eight hundred nine".