213721825681727 has 32 divisors (see below), whose sum is σ = 234008134424064. Its totient is φ = 193580035084800.

The previous prime is 213721825681709. The next prime is 213721825681729. The reversal of 213721825681727 is 727186528127312.

It is a cyclic number.

It is not a de Polignac number, because 213721825681727 - 2²⁴ = 213721808904511 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213721825681727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213721825681729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7210329827 + ... + 7210359467.

It is an arithmetic number, because the mean of its divisors is an integer number (7312754200752).

Almost surely, 2^{213721825681727} is an apocalyptic number.

213721825681727 is a deficient number, since it is larger than the sum of its proper divisors (20286308742337).

213721825681727 is a wasteful number, since it uses less digits than its factorization.

213721825681727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32399.

The product of its digits is 31610880, while the sum is 62.

The spelling of 213721825681727 in words is "two hundred thirteen trillion, seven hundred twenty-one billion, eight hundred twenty-five million, six hundred eighty-one thousand, seven hundred twenty-seven".