3837520013 has 2 divisors, whose sum is σ = 3837520014. Its totient is φ = 3837520012.

The previous prime is 3837519997. The next prime is 3837520069. The reversal of 3837520013 is 3100257383.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2735080804 + 1102439209 = 52298^2 + 33203^2 .

It is a cyclic number.

It is not a de Polignac number, because 3837520013 - 2⁴ = 3837519997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3837520213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1918760006 + 1918760007.

It is an arithmetic number, because the mean of its divisors is an integer number (1918760007).

Almost surely, 2^3837520013 is an apocalyptic number.

It is an amenable number.

3837520013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3837520013 is an equidigital number, since it uses as much as digits as its factorization.

3837520013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3837520013 is about 61947.7199983986. The cubic root of 3837520013 is about 1565.6098720339.

Adding to 3837520013 its reverse (3100257383), we get a palindrome (6937777396).

The spelling of 3837520013 in words is "three billion, eight hundred thirty-seven million, five hundred twenty thousand, thirteen".