25252948224 has 216 divisors, whose sum is σ = 83873986560. Its totient is φ = 7157735424.

The previous prime is 25252948219. The next prime is 25252948229. The reversal of 25252948224 is 42284925252.

25252948224 is a `hidden beast` number, since 2 + 525 + 29 + 4 + 82 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (25252948219) and next prime (25252948229).

It is a super-2 number, since 2×25252948224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25252948224.

It is not an unprimeable number, because it can be changed into a prime (25252948229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2042092 + ... + 2054420.

Almost surely, 2^25252948224 is an apocalyptic number.

25252948224 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 25252948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41936993280).

25252948224 is an abundant number, since it is smaller than the sum of its proper divisors (58621038336).

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

25252948224 is a wasteful number, since it uses less digits than its factorization.

25252948224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485 (or 12468 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 25252948224 in words is "twenty-five billion, two hundred fifty-two million, nine hundred forty-eight thousand, two hundred twenty-four".