25582050 has 72 divisors (see below), whose sum is σ = 74034324. Its totient is φ = 6295680.

The previous prime is 25582043. The next prime is 25582057. The reversal of 25582050 is 5028552.

It is an interprime number because it is at equal distance from previous prime (25582043) and next prime (25582057).

It can be written as a sum of positive squares in 6 ways, for example, as 5574321 + 20007729 = 2361^2 + 4473^2 .

It is not an unprimeable number, because it can be changed into a prime (25582057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3664 + ... + 8036.

Almost surely, 2^25582050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25582050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37017162).

25582050 is an abundant number, since it is smaller than the sum of its proper divisors (48452274).

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

25582050 is a wasteful number, since it uses less digits than its factorization.

25582050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 25582050 is about 5057.8701050936. The cubic root of 25582050 is about 294.6536200712.

The spelling of 25582050 in words is "twenty-five million, five hundred eighty-two thousand, fifty".