406680013 has 2 divisors, whose sum is σ = 406680014. Its totient is φ = 406680012.

The previous prime is 406679957. The next prime is 406680019. The reversal of 406680013 is 310086604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231435369 + 175244644 = 15213^2 + 13238^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-406680013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406680019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203340006 + 203340007.

It is an arithmetic number, because the mean of its divisors is an integer number (203340007).

Almost surely, 2^406680013 is an apocalyptic number.

It is an amenable number.

406680013 is a deficient number, since it is larger than the sum of its proper divisors (1).

406680013 is an equidigital number, since it uses as much as digits as its factorization.

406680013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 406680013 is about 20166.3088590847. The cubic root of 406680013 is about 740.8852402014.

The spelling of 406680013 in words is "four hundred six million, six hundred eighty thousand, thirteen".