25553000 has 128 divisors (see below), whose sum is σ = 68739840. Its totient is φ = 8800000.

The previous prime is 25552999. The next prime is 25553027. The reversal of 25553000 is 35552.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 252950 + ... + 253050.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 2^25553000 is an apocalyptic number.

25553000 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 25553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34369920).

25553000 is an abundant number, since it is smaller than the sum of its proper divisors (43186840).

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

25553000 is a wasteful number, since it uses less digits than its factorization.

25553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 25553000 is about 5054.9975272002. The cubic root of 25553000 is about 294.5420453574.

Adding to 25553000 its reverse (35552), we get a palindrome (25588552).

It can be divided in two parts, 2555 and 3000, that added together give a palindrome (5555).

The spelling of 25553000 in words is "twenty-five million, five hundred fifty-three thousand".