25382280314889 has 135 divisors (see below), whose sum is σ = 39878700984837. Its totient is φ = 16088332119552.

The previous prime is 25382280314837. The next prime is 25382280314893. The reversal of 25382280314889 is 98841308228352.

It is a happy number.

The square root of 25382280314889 is 5038083.

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

25382280314889 is a `hidden beast` number, since 2 + 5 + 38 + 2 + 280 + 314 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18043205625 + 25364237109264 = 134325^2 + 5036292^2 .

It is a de Polignac number, because none of the positive numbers 2^k-25382280314889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25382280314819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 127549147212 + ... + 127549147410.

Almost surely, 2^{25382280314889} is an apocalyptic number.

25382280314889 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

25382280314889 is the 5038083-rd square number.

25382280314889 is the 2519042-nd centered octagonal number.

It is an amenable number.

25382280314889 is a deficient number, since it is larger than the sum of its proper divisors (14496420669948).

25382280314889 is an frugal number, since it uses more digits than its factorization.

25382280314889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 25382280314889 in words is "twenty-five trillion, three hundred eighty-two billion, two hundred eighty million, three hundred fourteen thousand, eight hundred eighty-nine".