26132825 has 18 divisors (see below), whose sum is σ = 34432506. Its totient is φ = 19671040.

The previous prime is 26132819. The next prime is 26132831. The reversal of 26132825 is 52823162.

It is an interprime number because it is at equal distance from previous prime (26132819) and next prime (26132831).

It can be written as a sum of positive squares in 9 ways, for example, as 8248384 + 17884441 = 2872^2 + 4229^2 .

It is not a de Polignac number, because 26132825 - 2¹⁶ = 26067289 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5417 + ... + 9033.

It is an arithmetic number, because the mean of its divisors is an integer number (1912917).

Almost surely, 2^26132825 is an apocalyptic number.

26132825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26132825 is a deficient number, since it is larger than the sum of its proper divisors (8299681).

26132825 is a wasteful number, since it uses less digits than its factorization.

26132825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3639 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 26132825 is about 5112.0274842767. The cubic root of 26132825 is about 296.7532290991.

Adding to 26132825 its reverse (52823162), we get a palindrome (78955987).

The spelling of 26132825 in words is "twenty-six million, one hundred thirty-two thousand, eight hundred twenty-five".