2551005808500 has 48 divisors (see below), whose sum is σ = 7428528918720. Its totient is φ = 680268215200.

The previous prime is 2551005808499. The next prime is 2551005808501. The reversal of 2551005808500 is 58085001552.

It is an interprime number because it is at equal distance from previous prime (2551005808499) and next prime (2551005808501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551005808501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850333770 + ... + 850336769.

It is an arithmetic number, because the mean of its divisors is an integer number (154761019140).

Almost surely, 2^{2551005808500} is an apocalyptic number.

2551005808500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551005808500 is an abundant number, since it is smaller than the sum of its proper divisors (4877523110220).

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

2551005808500 is a wasteful number, since it uses less digits than its factorization.

2551005808500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700670561 (or 1700670549 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 39.

The spelling of 2551005808500 in words is "two trillion, five hundred fifty-one billion, five million, eight hundred eight thousand, five hundred".