26327479122961 has 9 divisors (see below), whose sum is σ = 26351509124091. Its totient is φ = 26303471028912.

The previous prime is 26327479122953. The next prime is 26327479122991. The reversal of 26327479122961 is 16922197472362.

The square root of 26327479122961 is 5131031.

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., 745571806225 + 25581907316736 = 863465^2 + 5057856^2 .

It is not a de Polignac number, because 26327479122961 - 2³ = 26327479122953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26327479122961.

It is not an unprimeable number, because it can be changed into a prime (26327479122941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8994695880 + ... + 8994698806.

Almost surely, 2^{26327479122961} is an apocalyptic number.

26327479122961 is the 5131031-st square number.

26327479122961 is the 2565516-th centered octagonal number.

It is an amenable number.

26327479122961 is a deficient number, since it is larger than the sum of its proper divisors (24030001130).

26327479122961 is an frugal number, since it uses more digits than its factorization.

26327479122961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 4680 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 61.

The spelling of 26327479122961 in words is "twenty-six trillion, three hundred twenty-seven billion, four hundred seventy-nine million, one hundred twenty-two thousand, nine hundred sixty-one".