25552834473825 has 72 divisors (see below), whose sum is σ = 48477847275000. Its totient is φ = 12821849671680.

The previous prime is 25552834473811. The next prime is 25552834473877. The reversal of 25552834473825 is 52837443825552.

25552834473825 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 2 + 83 + 4 + 473 + 82 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 16000136000289 + 9552698473536 = 4000017^2 + 3090744^2 .

It is not a de Polignac number, because 25552834473825 - 2¹⁶ = 25552834408289 is a prime.

It is a super-2 number, since 2×25552834473825² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9299851 + ... + 11729999.

It is an arithmetic number, because the mean of its divisors is an integer number (673303434375).

Almost surely, 2^{25552834473825} is an apocalyptic number.

25552834473825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25552834473825 is a deficient number, since it is larger than the sum of its proper divisors (22925012801175).

25552834473825 is a wasteful number, since it uses less digits than its factorization.

25552834473825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432931 (or 2432923 counting only the distinct ones).

The product of its digits is 322560000, while the sum is 63.

The spelling of 25552834473825 in words is "twenty-five trillion, five hundred fifty-two billion, eight hundred thirty-four million, four hundred seventy-three thousand, eight hundred twenty-five".