25050025000000 has 1701 divisors, whose sum is σ = 86030239643901. Its totient is φ = 7207200000000.

The previous prime is 25050024999959. The next prime is 25050025000081. The reversal of 25050025000000 is 52005052.

The square root of 25050025000000 is 5005000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 740549744704 + 24309475255296 = 860552^2 + 4930464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1926924999994 + ... + 1926925000006.

Almost surely, 2^{25050025000000} is an apocalyptic number.

25050025000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25050025000000 is the 5005000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25050025000000

25050025000000 is an abundant number, since it is smaller than the sum of its proper divisors (60980214643901).

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

25050025000000 is an frugal number, since it uses more digits than its factorization.

25050025000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

Adding to 25050025000000 its reverse (52005052), we get a palindrome (25050077005052).

The spelling of 25050025000000 in words is "twenty-five trillion, fifty billion, twenty-five million", and thus it is an aban number and an uban number.