13005125815823 has 2 divisors, whose sum is σ = 13005125815824. Its totient is φ = 13005125815822.

The previous prime is 13005125815807. The next prime is 13005125815859. The reversal of 13005125815823 is 32851852150031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13005125815823 - 2⁴ = 13005125815807 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13005125815723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502562907911 + 6502562907912.

It is an arithmetic number, because the mean of its divisors is an integer number (6502562907912).

Almost surely, 2^{13005125815823} is an apocalyptic number.

13005125815823 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005125815823 is an equidigital number, since it uses as much as digits as its factorization.

13005125815823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288000, while the sum is 44.

Adding to 13005125815823 its reverse (32851852150031), we get a palindrome (45856977965854).

The spelling of 13005125815823 in words is "thirteen trillion, five billion, one hundred twenty-five million, eight hundred fifteen thousand, eight hundred twenty-three".