13782582025501 has 2 divisors, whose sum is σ = 13782582025502. Its totient is φ = 13782582025500.

The previous prime is 13782582025489. The next prime is 13782582025517. The reversal of 13782582025501 is 10552028528731.

13782582025501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10634349271225 + 3148232754276 = 3261035^2 + 1774326^2 .

It is a cyclic number.

It is not a de Polignac number, because 13782582025501 - 2¹⁵ = 13782581992733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13782585025501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6891291012750 + 6891291012751.

It is an arithmetic number, because the mean of its divisors is an integer number (6891291012751).

Almost surely, 2^{13782582025501} is an apocalyptic number.

It is an amenable number.

13782582025501 is a deficient number, since it is larger than the sum of its proper divisors (1).

13782582025501 is an equidigital number, since it uses as much as digits as its factorization.

13782582025501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344000, while the sum is 49.

The spelling of 13782582025501 in words is "thirteen trillion, seven hundred eighty-two billion, five hundred eighty-two million, twenty-five thousand, five hundred one".