26565125 has 12 divisors (see below), whose sum is σ = 33225348. Its totient is φ = 21206000.

The previous prime is 26565113. The next prime is 26565127. The reversal of 26565125 is 52156562.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 13380964 + 13184161 = 3658^2 + 3631^2 .

It is not a de Polignac number, because 26565125 - 2¹⁶ = 26499589 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26565091 and 26565100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26565127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57395 + ... + 57855.

It is an arithmetic number, because the mean of its divisors is an integer number (2768779).

Almost surely, 2^26565125 is an apocalyptic number.

26565125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26565125 is a deficient number, since it is larger than the sum of its proper divisors (6660223).

26565125 is an frugal number, since it uses more digits than its factorization.

26565125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 466 counting only the distinct ones).

The product of its digits is 18000, while the sum is 32.

The square root of 26565125 is about 5154.1366881370. The cubic root of 26565125 is about 298.3806263432.

Multiplying 26565125 by its product of digits (18000), we get a square (478172250000 = 691500²).

It can be divided in two parts, 2 and 6565125, that multiplied together give a triangular number (13130250 = T₅₁₂₄).

The spelling of 26565125 in words is "twenty-six million, five hundred sixty-five thousand, one hundred twenty-five".