26261010725 has 48 divisors (see below), whose sum is σ = 34401369600. Its totient is φ = 19847224320.

The previous prime is 26261010719. The next prime is 26261010733. The reversal of 26261010725 is 52701016262.

It is not a de Polignac number, because 26261010725 - 2¹⁰ = 26261009701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26261010691 and 26261010700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25274756 + ... + 25275794.

It is an arithmetic number, because the mean of its divisors is an integer number (716695200).

Almost surely, 2^26261010725 is an apocalyptic number.

26261010725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26261010725 is a deficient number, since it is larger than the sum of its proper divisors (8140358875).

26261010725 is a wasteful number, since it uses less digits than its factorization.

26261010725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 26261010725 its reverse (52701016262), we get a palindrome (78962026987).

The spelling of 26261010725 in words is "twenty-six billion, two hundred sixty-one million, ten thousand, seven hundred twenty-five".