7838208013 has 2 divisors, whose sum is σ = 7838208014. Its totient is φ = 7838208012.

The previous prime is 7838207999. The next prime is 7838208029. The reversal of 7838208013 is 3108028387.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5440832644 + 2397375369 = 73762^2 + 48963^2 .

It is a cyclic number.

It is not a de Polignac number, because 7838208013 - 2⁵ = 7838207981 is a prime.

It is a super-2 number, since 2×7838208013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7838208043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3919104006 + 3919104007.

It is an arithmetic number, because the mean of its divisors is an integer number (3919104007).

Almost surely, 2^7838208013 is an apocalyptic number.

It is an amenable number.

7838208013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7838208013 is an equidigital number, since it uses as much as digits as its factorization.

7838208013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 7838208013 is about 88533.6546913093. The cubic root of 7838208013 is about 1986.4254080926.

The spelling of 7838208013 in words is "seven billion, eight hundred thirty-eight million, two hundred eight thousand, thirteen".