26578125 has 84 divisors (see below), whose sum is σ = 56874272. Its totient is φ = 12150000.

The previous prime is 26578121. The next prime is 26578147. The reversal of 26578125 is 52187562.

It is a happy number.

It is not a de Polignac number, because 26578125 - 2² = 26578121 is a prime.

Its product of digits (33600) is a multiple of the sum of its prime divisors (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 26578125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26578121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3796872 + ... + 3796878.

Almost surely, 2^26578125 is an apocalyptic number.

26578125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26578125 is an abundant number, since it is smaller than the sum of its proper divisors (30296147).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26578125 is an frugal number, since it uses more digits than its factorization.

26578125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 15 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 26578125 is about 5155.3976568253. The cubic root of 26578125 is about 298.4292905922.

Multiplying 26578125 by its product of digits (33600), we get a square (893025000000 = 945000²).

The spelling of 26578125 in words is "twenty-six million, five hundred seventy-eight thousand, one hundred twenty-five".