13563826068101 has 8 divisors (see below), whose sum is σ = 14361744348504. Its totient is φ = 12765912916480.

The previous prime is 13563826068097. The next prime is 13563826068109. The reversal of 13563826068101 is 10186062836531.

It is a Cunningham number, because it is equal to 3682910²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 3525479395876 + 10038346672225 = 1877626^2 + 3168335^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13563826068101 - 2² = 13563826068097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13563826068101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13563826068109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5058641 + ... + 7260681.

It is an arithmetic number, because the mean of its divisors is an integer number (1795218043563).

Almost surely, 2^{13563826068101} is an apocalyptic number.

It is an amenable number.

13563826068101 is a deficient number, since it is larger than the sum of its proper divisors (797918280403).

13563826068101 is a wasteful number, since it uses less digits than its factorization.

13563826068101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564391.

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 13563826068101 in words is "thirteen trillion, five hundred sixty-three billion, eight hundred twenty-six million, sixty-eight thousand, one hundred one".