213261686524324 has 81 divisors (see below), whose sum is σ = 392696610783841. Its totient is φ = 101330640901600.

The previous prime is 213261686524321. The next prime is 213261686524357. The reversal of 213261686524324 is 423425686162312.

The square root of 213261686524324 is 14603482.

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

213261686524324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17786614586724 + 195475071937600 = 4217418^2 + 13981240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213261686524321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112183947774 + ... + 112183949674.

Almost surely, 2^{213261686524324} is an apocalyptic number.

213261686524324 is the 14603482-nd square number.

It is an amenable number.

213261686524324 is a deficient number, since it is larger than the sum of its proper divisors (179434924259517).

213261686524324 is an frugal number, since it uses more digits than its factorization.

213261686524324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 2093 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 55.

The spelling of 213261686524324 in words is "two hundred thirteen trillion, two hundred sixty-one billion, six hundred eighty-six million, five hundred twenty-four thousand, three hundred twenty-four".