2551086100 has 72 divisors (see below), whose sum is σ = 5822627328. Its totient is φ = 968822400.

The previous prime is 2551086071. The next prime is 2551086107. The reversal of 2551086100 is 16801552.

It is a super-2 number, since 2×2551086100² = 13016080579226420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551086107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 156537 + ... + 172063.

It is an arithmetic number, because the mean of its divisors is an integer number (80869824).

Almost surely, 2^2551086100 is an apocalyptic number.

2551086100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551086100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911313664).

2551086100 is an abundant number, since it is smaller than the sum of its proper divisors (3271541228).

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

2551086100 is a wasteful number, since it uses less digits than its factorization.

2551086100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15625 (or 15618 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 2551086100 is about 50508.2775394291. The cubic root of 2551086100 is about 1366.3911448019.

Adding to 2551086100 its reverse (16801552), we get a palindrome (2567887652).

The spelling of 2551086100 in words is "two billion, five hundred fifty-one million, eighty-six thousand, one hundred".