25287678252 has 96 divisors (see below), whose sum is σ = 66297584640. Its totient is φ = 8334705600.

The previous prime is 25287678239. The next prime is 25287678257.

25287678252 is a `hidden beast` number, since 2 + 528 + 7 + 67 + 8 + 2 + 52 = 666.

25287678252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25287678257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14474043 + ... + 14475789.

It is an arithmetic number, because the mean of its divisors is an integer number (690599840).

Almost surely, 2^25287678252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25287678252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33148792320).

25287678252 is an abundant number, since it is smaller than the sum of its proper divisors (41009906388).

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

25287678252 is a wasteful number, since it uses less digits than its factorization.

25287678252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3180 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 25287678252 in words is "twenty-five billion, two hundred eighty-seven million, six hundred seventy-eight thousand, two hundred fifty-two".