26582222082025 has 81 divisors (see below), whose sum is σ = 34865646264631. Its totient is φ = 20102980907680.

The previous prime is 26582222081999. The next prime is 26582222082061. The reversal of 26582222082025 is 52028022228562.

The square root of 26582222082025 is 5155795.

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., 9569599949529 + 17012622132496 = 3093477^2 + 4124636^2 .

It is not a de Polignac number, because 26582222082025 - 2⁷ = 26582222081897 is a prime.

It is a super-2 number, since 2×26582222082025² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63442057266 + ... + 63442057684.

Almost surely, 2^{26582222082025} is an apocalyptic number.

26582222082025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26582222082025 is the 5155795-th square number.

26582222082025 is the 2577898-th centered octagonal number.

It is an amenable number.

26582222082025 is a deficient number, since it is larger than the sum of its proper divisors (8283424182606).

26582222082025 is an frugal number, since it uses more digits than its factorization.

26582222082025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 26582222082025 in words is "twenty-six trillion, five hundred eighty-two billion, two hundred twenty-two million, eighty-two thousand, twenty-five".