25662500 has 36 divisors (see below), whose sum is σ = 56160468. Its totient is φ = 10260000.

The previous prime is 25662479. The next prime is 25662551. The reversal of 25662500 is 526652.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21031396 + 4631104 = 4586^2 + 2152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25662500.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11474 + ... + 13526.

It is an arithmetic number, because the mean of its divisors is an integer number (1560013).

Almost surely, 2^25662500 is an apocalyptic number.

25662500 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 25662500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080234).

25662500 is an abundant number, since it is smaller than the sum of its proper divisors (30497968).

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

25662500 is an equidigital number, since it uses as much as digits as its factorization.

25662500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 25662500 is about 5065.8168146904. The cubic root of 25662500 is about 294.9621707692.

It can be divided in two parts, 25662 and 500, that added together give a palindrome (26162).

The spelling of 25662500 in words is "twenty-five million, six hundred sixty-two thousand, five hundred".