25505200 has 60 divisors (see below), whose sum is σ = 70037680. Its totient is φ = 8743680.

The previous prime is 25505191. The next prime is 25505209. The reversal of 25505200 is 250552.

It is an interprime number because it is at equal distance from previous prime (25505191) and next prime (25505209).

It is not an unprimeable number, because it can be changed into a prime (25505209) 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 11 ways as a sum of consecutive naturals, for example, 1755 + ... + 7354.

Almost surely, 2^25505200 is an apocalyptic number.

25505200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25505200 is an abundant number, since it is smaller than the sum of its proper divisors (44532480).

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

25505200 is a wasteful number, since it uses less digits than its factorization.

25505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9123 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 25505200 is about 5050.2673196574. The cubic root of 25505200 is about 294.3582717913.

Adding to 25505200 its reverse (250552), we get a palindrome (25755752).

It can be divided in two parts, 2550 and 5200, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 25505200 in words is "twenty-five million, five hundred five thousand, two hundred".