25213564000530 has 192 divisors, whose sum is σ = 68694688808928. Its totient is φ = 6410343628800.

The previous prime is 25213564000519. The next prime is 25213564000577. The reversal of 25213564000530 is 3500046531252.

25213564000530 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 3 + 5 + 640 + 0 + 0 + 5 + 3 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5469129472689 + 19744434527841 = 2338617^2 + 4443471^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32237584 + ... + 33010436.

Almost surely, 2^{25213564000530} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25213564000530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34347344404464).

25213564000530 is an abundant number, since it is smaller than the sum of its proper divisors (43481124808398).

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

25213564000530 is a wasteful number, since it uses less digits than its factorization.

25213564000530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773101 (or 773098 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 25213564000530 in words is "twenty-five trillion, two hundred thirteen billion, five hundred sixty-four million, five hundred thirty", and thus it is an aban number.