25132560 has 160 divisors (see below), whose sum is σ = 84637440. Its totient is φ = 6150144.

The previous prime is 25132553. The next prime is 25132567. The reversal of 25132560 is 6523152.

It is an interprime number because it is at equal distance from previous prime (25132553) and next prime (25132567).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 25132560.

It is not an unprimeable number, because it can be changed into a prime (25132567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160002 + ... + 160158.

It is an arithmetic number, because the mean of its divisors is an integer number (528984).

Almost surely, 2^25132560 is an apocalyptic number.

25132560 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 25132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42318720).

25132560 is an abundant number, since it is smaller than the sum of its proper divisors (59504880).

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

25132560 is a wasteful number, since it uses less digits than its factorization.

25132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 25132560 is about 5013.2384742799. The cubic root of 25132560 is about 292.9176734460.

The spelling of 25132560 in words is "twenty-five million, one hundred thirty-two thousand, five hundred sixty".