26278031025 has 81 divisors (see below), whose sum is σ = 47985923713. Its totient is φ = 13746504000.

The previous prime is 26278030981. The next prime is 26278031041. The reversal of 26278031025 is 52013087262.

The square root of 26278031025 is 162105.

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

26278031025 is a `hidden beast` number, since 2 + 627 + 8 + 0 + 3 + 1 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4852097649 + 21425933376 = 69657^2 + 146376^2 .

It is not a de Polignac number, because 26278031025 - 2⁷ = 26278030897 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 245589022 + ... + 245589128.

Almost surely, 2^26278031025 is an apocalyptic number.

26278031025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26278031025 is the 162105-th square number.

26278031025 is the 81053-rd centered octagonal number.

It is an amenable number.

26278031025 is a deficient number, since it is larger than the sum of its proper divisors (21707892688).

26278031025 is a wasteful number, since it uses less digits than its factorization.

26278031025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 26278031025 by its sum of digits (36), we get a square (946009116900 = 972630²).

The spelling of 26278031025 in words is "twenty-six billion, two hundred seventy-eight million, thirty-one thousand, twenty-five".