26259075658321 has 81 divisors (see below), whose sum is σ = 31201738994097. Its totient is φ = 22078206881280.

The previous prime is 26259075658313. The next prime is 26259075658427. The reversal of 26259075658321 is 12385657095262.

The square root of 26259075658321 is 5124361.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13068116550225 + 13190959108096 = 3614985^2 + 3631936^2 .

It is not a de Polignac number, because 26259075658321 - 2³ = 26259075658313 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 26259075658321.

It is not an unprimeable number, because it can be changed into a prime (26259075658301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64203118765 + ... + 64203119173.

Almost surely, 2^{26259075658321} is an apocalyptic number.

26259075658321 is the 5124361-st square number.

26259075658321 is the 2562181-st centered octagonal number.

It is an amenable number.

26259075658321 is a deficient number, since it is larger than the sum of its proper divisors (4942663335776).

26259075658321 is an frugal number, since it uses more digits than its factorization.

26259075658321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 61.

The spelling of 26259075658321 in words is "twenty-six trillion, two hundred fifty-nine billion, seventy-five million, six hundred fifty-eight thousand, three hundred twenty-one".