13563826068100 has 243 divisors, whose sum is σ = 37642442989221. Its totient is φ = 4226802148800.

The previous prime is 13563826068097. The next prime is 13563826068109. The reversal of 13563826068100 is 186062836531.

The square root of 13563826068100 is 3682910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4882977384516 + 8680848683584 = 2209746^2 + 2946328^2 .

It is a super-2 number, since 2×13563826068100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2835838309 + ... + 2835843091.

Almost surely, 2^{13563826068100} is an apocalyptic number.

13563826068100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13563826068100 is the 3682910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13563826068100

13563826068100 is an abundant number, since it is smaller than the sum of its proper divisors (24078616921121).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13563826068100 is an equidigital number, since it uses as much as digits as its factorization.

13563826068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9616 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 13563826068100 by its sum of digits (49), we get a square (664627477336900 = 25780370²).

13563826068100 divided by its sum of digits (49) gives a square (276812776900 = 526130²).

The spelling of 13563826068100 in words is "thirteen trillion, five hundred sixty-three billion, eight hundred twenty-six million, sixty-eight thousand, one hundred".