26961346682701 has 2 divisors, whose sum is σ = 26961346682702. Its totient is φ = 26961346682700.

The previous prime is 26961346682687. The next prime is 26961346682717. The reversal of 26961346682701 is 10728664316962.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22278645440676 + 4682701242025 = 4720026^2 + 2163955^2 .

It is a cyclic number.

It is not a de Polignac number, because 26961346682701 - 2¹⁵ = 26961346649933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26961346682701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26961346682731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13480673341350 + 13480673341351.

It is an arithmetic number, because the mean of its divisors is an integer number (13480673341351).

Almost surely, 2^{26961346682701} is an apocalyptic number.

It is an amenable number.

26961346682701 is a deficient number, since it is larger than the sum of its proper divisors (1).

26961346682701 is an equidigital number, since it uses as much as digits as its factorization.

26961346682701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 26961346682701 in words is "twenty-six trillion, nine hundred sixty-one billion, three hundred forty-six million, six hundred eighty-two thousand, seven hundred one".