13782635758901 has 2 divisors, whose sum is σ = 13782635758902. Its totient is φ = 13782635758900.

The previous prime is 13782635758781. The next prime is 13782635758921. The reversal of 13782635758901 is 10985753628731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11042501796676 + 2740133962225 = 3323026^2 + 1655335^2 .

It is a cyclic number.

It is not a de Polignac number, because 13782635758901 - 2⁴² = 9384589247797 is a prime.

It is a super-2 number, since 2×13782635758901² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13782635758921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6891317879450 + 6891317879451.

It is an arithmetic number, because the mean of its divisors is an integer number (6891317879451).

Almost surely, 2^{13782635758901} is an apocalyptic number.

It is an amenable number.

13782635758901 is a deficient number, since it is larger than the sum of its proper divisors (1).

13782635758901 is an equidigital number, since it uses as much as digits as its factorization.

13782635758901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76204800, while the sum is 65.

The spelling of 13782635758901 in words is "thirteen trillion, seven hundred eighty-two billion, six hundred thirty-five million, seven hundred fifty-eight thousand, nine hundred one".