26125000 has 112 divisors (see below), whose sum is σ = 70311600. Its totient is φ = 9000000.

The previous prime is 26124991. The next prime is 26125009. The reversal of 26125000 is 52162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26124991) and next prime (26125009).

It is not an unprimeable number, because it can be changed into a prime (26125009) 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 27 ways as a sum of consecutive naturals, for example, 1374991 + ... + 1375009.

Almost surely, 2^26125000 is an apocalyptic number.

26125000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35155800).

26125000 is an abundant number, since it is smaller than the sum of its proper divisors (44186600).

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

26125000 is an equidigital number, since it uses as much as digits as its factorization.

26125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 26125000 is about 5111.2620750652. The cubic root of 26125000 is about 296.7236070200.

Adding to 26125000 its reverse (52162), we get a palindrome (26177162).

It can be divided in two parts, 2 and 6125000, that multiplied together give a square (12250000 = 3500²).

The spelling of 26125000 in words is "twenty-six million, one hundred twenty-five thousand".