2826400013 has 2 divisors, whose sum is σ = 2826400014. Its totient is φ = 2826400012.

The previous prime is 2826399997. The next prime is 2826400039. The reversal of 2826400013 is 3100046282.

2826400013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2826400039) can be obtained adding 2826400013 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2129545609 + 696854404 = 46147^2 + 26398^2 .

It is a cyclic number.

It is not a de Polignac number, because 2826400013 - 2⁴ = 2826399997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2826402013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1413200006 + 1413200007.

It is an arithmetic number, because the mean of its divisors is an integer number (1413200007).

Almost surely, 2^2826400013 is an apocalyptic number.

It is an amenable number.

2826400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2826400013 is an equidigital number, since it uses as much as digits as its factorization.

2826400013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2826400013 is about 53163.8976468054. The cubic root of 2826400013 is about 1413.8756296713.

Adding to 2826400013 its reverse (3100046282), we get a palindrome (5926446295).

The spelling of 2826400013 in words is "two billion, eight hundred twenty-six million, four hundred thousand, thirteen".