406099821687013 has 2 divisors, whose sum is σ = 406099821687014. Its totient is φ = 406099821687012.

The previous prime is 406099821687011. The next prime is 406099821687029. The reversal of 406099821687013 is 310786128990604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247180089129444 + 158919732557569 = 15721962^2 + 12606337^2 .

It is a cyclic number.

It is not a de Polignac number, because 406099821687013 - 2¹ = 406099821687011 is a prime.

Together with 406099821687011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406099821687011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203049910843506 + 203049910843507.

It is an arithmetic number, because the mean of its divisors is an integer number (203049910843507).

Almost surely, 2^{406099821687013} is an apocalyptic number.

It is an amenable number.

406099821687013 is a deficient number, since it is larger than the sum of its proper divisors (1).

406099821687013 is an equidigital number, since it uses as much as digits as its factorization.

406099821687013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31352832, while the sum is 64.

The spelling of 406099821687013 in words is "four hundred six trillion, ninety-nine billion, eight hundred twenty-one million, six hundred eighty-seven thousand, thirteen".