25564900 has 18 divisors (see below), whose sum is σ = 55476050. Its totient is φ = 10225920.

The previous prime is 25564879. The next prime is 25564907. The reversal of 25564900 is 946552.

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 25563136 = 42^2 + 5056^2 .

It is a super-2 number, since 2×25564900² = 1307128224020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25564907) 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 5 ways as a sum of consecutive naturals, for example, 127725 + ... + 127924.

Almost surely, 2^25564900 is an apocalyptic number.

25564900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25564900 is an abundant number, since it is smaller than the sum of its proper divisors (29911150).

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

25564900 is a wasteful number, since it uses less digits than its factorization.

25564900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255663 (or 255656 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 25564900 is about 5056.1744431932. The cubic root of 25564900 is about 294.5877608817.

The spelling of 25564900 in words is "twenty-five million, five hundred sixty-four thousand, nine hundred".