2552561223825 has 288 divisors, whose sum is σ = 4874424231168. Its totient is φ = 1171924582400.

The previous prime is 2552561223787. The next prime is 2552561223889. The reversal of 2552561223825 is 5283221652552.

It is a happy number.

It is not a de Polignac number, because 2552561223825 - 2¹⁶ = 2552561158289 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2612651737 + ... + 2612652713.

It is an arithmetic number, because the mean of its divisors is an integer number (16925084136).

Almost surely, 2^{2552561223825} is an apocalyptic number.

2552561223825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2552561223825 is a deficient number, since it is larger than the sum of its proper divisors (2321863007343).

2552561223825 is a wasteful number, since it uses less digits than its factorization.

2552561223825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1119 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 48.

The spelling of 2552561223825 in words is "two trillion, five hundred fifty-two billion, five hundred sixty-one million, two hundred twenty-three thousand, eight hundred twenty-five".