26117711081401 has 3 divisors (see below), whose sum is σ = 26117716191951. Its totient is φ = 26117705970852.

The previous prime is 26117711081317. The next prime is 26117711081411. The reversal of 26117711081401 is 10418011771162.

The square root of 26117711081401 is 5110549.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2953813801 + 26114757267600 = 54349^2 + 5110260^2 .

It is not a de Polignac number, because 26117711081401 - 2¹¹ = 26117711079353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26117711081411) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2555275 + ... + 7665823.

It is an arithmetic number, because the mean of its divisors is an integer number (8705905397317).

Almost surely, 2^{26117711081401} is an apocalyptic number.

26117711081401 is the 5110549-th square number.

26117711081401 is the 2555275-th centered octagonal number.

It is an amenable number.

26117711081401 is a deficient number, since it is larger than the sum of its proper divisors (5110550).

26117711081401 is an frugal number, since it uses more digits than its factorization.

26117711081401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10221098 (or 5110549 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 40.

The spelling of 26117711081401 in words is "twenty-six trillion, one hundred seventeen billion, seven hundred eleven million, eighty-one thousand, four hundred one".