2551311 has 16 divisors (see below), whose sum is σ = 4320000. Its totient is φ = 1457784.

The previous prime is 2551279. The next prime is 2551313. The reversal of 2551311 is 1131552.

It is not a de Polignac number, because 2551311 - 2⁵ = 2551279 is a prime.

2551311 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551313) 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 15 ways as a sum of consecutive naturals, for example, 6561 + ... + 6938.

It is an arithmetic number, because the mean of its divisors is an integer number (270000).

2^2551311 is an apocalyptic number.

2551311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2551311 is a deficient number, since it is larger than the sum of its proper divisors (1768689).

2551311 is a wasteful number, since it uses less digits than its factorization.

2551311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13515 (or 13509 counting only the distinct ones).

The product of its digits is 150, while the sum is 18.

The square root of 2551311 is about 1597.2823795435. The cubic root of 2551311 is about 136.6431296633.

Adding to 2551311 its reverse (1131552), we get a palindrome (3682863).

The spelling of 2551311 in words is "two million, five hundred fifty-one thousand, three hundred eleven".