25532300 has 72 divisors (see below), whose sum is σ = 61308576. Its totient is φ = 9180160.

The previous prime is 25532281. The next prime is 25532321. The reversal of 25532300 is 323552.

It is a super-3 number, since 3×25532300³ (a number of 23 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38774 + ... + 39426.

It is an arithmetic number, because the mean of its divisors is an integer number (851508).

Almost surely, 2^25532300 is an apocalyptic number.

25532300 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 25532300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30654288).

25532300 is an abundant number, since it is smaller than the sum of its proper divisors (35776276).

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

25532300 is a wasteful number, since it uses less digits than its factorization.

25532300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 25532300 is about 5052.9496336298. The cubic root of 25532300 is about 294.4624895656.

Adding to 25532300 its reverse (323552), we get a palindrome (25855852).

The spelling of 25532300 in words is "twenty-five million, five hundred thirty-two thousand, three hundred".