26510401025 has 24 divisors (see below), whose sum is σ = 33787428984. Its totient is φ = 20619187200.

The previous prime is 26510400907. The next prime is 26510401031. The reversal of 26510401025 is 52010401562.

It can be written as a sum of positive squares in 12 ways, for example, as 4581529969 + 21928871056 = 67687^2 + 148084^2 .

It is a de Polignac number, because none of the positive numbers 2^k-26510401025 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26510400985 and 26510401003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267049 + ... + 1287801.

It is an arithmetic number, because the mean of its divisors is an integer number (1407809541).

Almost surely, 2^26510401025 is an apocalyptic number.

26510401025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26510401025 is a deficient number, since it is larger than the sum of its proper divisors (7277027959).

26510401025 is a wasteful number, since it uses less digits than its factorization.

26510401025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22181 (or 22176 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 26510401025 its reverse (52010401562), we get a palindrome (78520802587).

The spelling of 26510401025 in words is "twenty-six billion, five hundred ten million, four hundred one thousand, twenty-five".