2551173587248 has 160 divisors (see below), whose sum is σ = 6150271982400. Its totient is φ = 1007187886080.

The previous prime is 2551173587161. The next prime is 2551173587267. The reversal of 2551173587248 is 8427853711552.

2551173587248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2551173587192 and 2551173587201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211938286 + ... + 211950322.

It is an arithmetic number, because the mean of its divisors is an integer number (38439199890).

Almost surely, 2^{2551173587248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551173587248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075135991200).

2551173587248 is an abundant number, since it is smaller than the sum of its proper divisors (3599098395152).

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

2551173587248 is a wasteful number, since it uses less digits than its factorization.

2551173587248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17535 (or 17529 counting only the distinct ones).

The product of its digits is 18816000, while the sum is 58.

The spelling of 2551173587248 in words is "two trillion, five hundred fifty-one billion, one hundred seventy-three million, five hundred eighty-seven thousand, two hundred forty-eight".