25090081000000 has 147 divisors (see below), whose sum is σ = 62246792234767. Its totient is φ = 10034028800000.

The previous prime is 25090080999947. The next prime is 25090081000007. The reversal of 25090081000000 is 18009052.

The square root of 25090081000000 is 5009000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 20268508227136 + 4821572772864 = 4502056^2 + 2195808^2 .

It is a super-2 number, since 2×25090081000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25090081000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5008997496 + ... + 5009002504.

Almost surely, 2^{25090081000000} is an apocalyptic number.

25090081000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25090081000000 is the 5009000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25090081000000

25090081000000 is an abundant number, since it is smaller than the sum of its proper divisors (37156711234767).

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

25090081000000 is an frugal number, since it uses more digits than its factorization.

25090081000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Multiplying 25090081000000 by its sum of digits (25), we get a square (627252025000000 = 25045000²).

25090081000000 divided by its sum of digits (25) gives a square (1003603240000 = 1001800²).

Adding to 25090081000000 its reverse (18009052), we get a palindrome (25090099009052).

The spelling of 25090081000000 in words is "twenty-five trillion, ninety billion, eighty-one million", and thus it is an aban number and an uban number.