38007241813 has 2 divisors, whose sum is σ = 38007241814. Its totient is φ = 38007241812.

The previous prime is 38007241763. The next prime is 38007241823. The reversal of 38007241813 is 31814270083.

38007241813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23765922244 + 14241319569 = 154162^2 + 119337^2 .

It is a cyclic number.

It is not a de Polignac number, because 38007241813 - 2⁹ = 38007241301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38007241823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19003620906 + 19003620907.

It is an arithmetic number, because the mean of its divisors is an integer number (19003620907).

Almost surely, 2^38007241813 is an apocalyptic number.

It is an amenable number.

38007241813 is a deficient number, since it is larger than the sum of its proper divisors (1).

38007241813 is an equidigital number, since it uses as much as digits as its factorization.

38007241813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 38007241813 in words is "thirty-eight billion, seven million, two hundred forty-one thousand, eight hundred thirteen".