26580225 has 48 divisors (see below), whose sum is σ = 50675328. Its totient is φ = 12042240.

The previous prime is 26580223. The next prime is 26580241. The reversal of 26580225 is 52208562.

It is not a de Polignac number, because 26580225 - 2¹ = 26580223 is a prime.

It is a super-2 number, since 2×26580225² = 1413016722101250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26580192 and 26580201.

It is not an unprimeable number, because it can be changed into a prime (26580223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103297 + ... + 103553.

It is an arithmetic number, because the mean of its divisors is an integer number (1055736).

Almost surely, 2^26580225 is an apocalyptic number.

26580225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26580225 is a deficient number, since it is larger than the sum of its proper divisors (24095103).

26580225 is a wasteful number, since it uses less digits than its factorization.

26580225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 26580225 is about 5155.6013228333. The cubic root of 26580225 is about 298.4371502513.

Adding to 26580225 its reverse (52208562), we get a palindrome (78788787).

The spelling of 26580225 in words is "twenty-six million, five hundred eighty thousand, two hundred twenty-five".