25252824 has 64 divisors (see below), whose sum is σ = 67392000. Its totient is φ = 7862400.

The previous prime is 25252813. The next prime is 25252831. The reversal of 25252824 is 42825252.

It is a junction number, because it is equal to n+sod(n) for n = 25252791 and 25252800.

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 15 ways as a sum of consecutive naturals, for example, 35674 + ... + 36374.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^25252824 is an apocalyptic number.

25252824 is a gapful number since it is divisible by the number (24) 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 25252824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696000).

25252824 is an abundant number, since it is smaller than the sum of its proper divisors (42139176).

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

25252824 is a wasteful number, since it uses less digits than its factorization.

25252824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 25252824 is about 5025.2188012066. The cubic root of 25252824 is about 293.3841521228.

The spelling of 25252824 in words is "twenty-five million, two hundred fifty-two thousand, eight hundred twenty-four".