26825001 has 32 divisors (see below), whose sum is σ = 42240000. Its totient is φ = 15135120.

The previous prime is 26824981. The next prime is 26825021. The reversal of 26825001 is 10052862.

It is an interprime number because it is at equal distance from previous prime (26824981) and next prime (26825021).

It is not a de Polignac number, because 26825001 - 2⁷ = 26824873 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26825021) 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 31 ways as a sum of consecutive naturals, for example, 134700 + ... + 134898.

It is an arithmetic number, because the mean of its divisors is an integer number (1320000).

Almost surely, 2^26825001 is an apocalyptic number.

26825001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

26825001 is a deficient number, since it is larger than the sum of its proper divisors (15414999).

26825001 is a wasteful number, since it uses less digits than its factorization.

26825001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 26825001 is about 5179.2857615698. The cubic root of 26825001 is about 299.3504501874.

Adding to 26825001 its reverse (10052862), we get a palindrome (36877863).

The spelling of 26825001 in words is "twenty-six million, eight hundred twenty-five thousand, one".