2551132314 has 64 divisors (see below), whose sum is σ = 5902500480. Its totient is φ = 816013440.

The previous prime is 2551132307. The next prime is 2551132327. The reversal of 2551132314 is 4132311552.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 137109 + ... + 154599.

It is an arithmetic number, because the mean of its divisors is an integer number (92226570).

Almost surely, 2^2551132314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551132314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951250240).

2551132314 is an abundant number, since it is smaller than the sum of its proper divisors (3351368166).

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

2551132314 is a wasteful number, since it uses less digits than its factorization.

2551132314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17612 (or 17606 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2551132314 is about 50508.7350267258. The cubic root of 2551132314 is about 1366.3993956692.

Adding to 2551132314 its reverse (4132311552), we get a palindrome (6683443866).

The spelling of 2551132314 in words is "two billion, five hundred fifty-one million, one hundred thirty-two thousand, three hundred fourteen".