13838525513 has 2 divisors, whose sum is σ = 13838525514. Its totient is φ = 13838525512.

The previous prime is 13838525507. The next prime is 13838525543. The reversal of 13838525513 is 31552583831.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12698585344 + 1139940169 = 112688^2 + 33763^2 .

It is a cyclic number.

It is not a de Polignac number, because 13838525513 - 2⁴ = 13838525497 is a prime.

It is not a weakly prime, because it can be changed into another prime (13838525543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6919262756 + 6919262757.

It is an arithmetic number, because the mean of its divisors is an integer number (6919262757).

Almost surely, 2^13838525513 is an apocalyptic number.

It is an amenable number.

13838525513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13838525513 is an equidigital number, since it uses as much as digits as its factorization.

13838525513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432000, while the sum is 44.

The spelling of 13838525513 in words is "thirteen billion, eight hundred thirty-eight million, five hundred twenty-five thousand, five hundred thirteen".