400242013 has 2 divisors, whose sum is σ = 400242014. Its totient is φ = 400242012.

The previous prime is 400242001. The next prime is 400242047. The reversal of 400242013 is 310242004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 291623929 + 108618084 = 17077^2 + 10422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400242013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400246013) 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 as a sum of consecutive naturals, namely, 200121006 + 200121007.

It is an arithmetic number, because the mean of its divisors is an integer number (200121007).

Almost surely, 2^400242013 is an apocalyptic number.

It is an amenable number.

400242013 is a deficient number, since it is larger than the sum of its proper divisors (1).

400242013 is an equidigital number, since it uses as much as digits as its factorization.

400242013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400242013 is about 20006.0494101159. The cubic root of 400242013 is about 736.9548670219.

Adding to 400242013 its reverse (310242004), we get a palindrome (710484017).

Subtracting from 400242013 its reverse (310242004), we obtain a palindrome (90000009).

The spelling of 400242013 in words is "four hundred million, two hundred forty-two thousand, thirteen".