25353540 has 96 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 6523776.

The previous prime is 25353529. The next prime is 25353551. The reversal of 25353540 is 4535352.

It is an interprime number because it is at equal distance from previous prime (25353529) and next prime (25353551).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 14851 + ... + 16469.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^25353540 is an apocalyptic number.

25353540 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 25353540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000).

25353540 is an abundant number, since it is smaller than the sum of its proper divisors (56294460).

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

25353540 is a wasteful number, since it uses less digits than its factorization.

25353540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 25353540 is about 5035.2298855166. The cubic root of 25353540 is about 293.7736700407.

Adding to 25353540 its reverse (4535352), we get a palindrome (29888892).

The spelling of 25353540 in words is "twenty-five million, three hundred fifty-three thousand, five hundred forty".