2553111 has 48 divisors (see below), whose sum is σ = 4481568. Its totient is φ = 1382400.

The previous prime is 2553101. The next prime is 2553113. The reversal of 2553111 is 1113552.

2553111 is a `hidden beast` number, since 2 + 553 + 111 = 666.

It is not a de Polignac number, because 2553111 - 2⁷ = 2552983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553113) 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 47 ways as a sum of consecutive naturals, for example, 62251 + ... + 62291.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

2^2553111 is an apocalyptic number.

2553111 is a deficient number, since it is larger than the sum of its proper divisors (1928457).

2553111 is a wasteful number, since it uses less digits than its factorization.

2553111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 109 counting only the distinct ones).

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

The square root of 2553111 is about 1597.8457372350. The cubic root of 2553111 is about 136.6752569126.

Multiplying 2553111 by its product of digits (150), we get a triangular number (382966650 = T₂₇₆₇₅).

Adding to 2553111 its reverse (1113552), we get a palindrome (3666663).

The spelling of 2553111 in words is "two million, five hundred fifty-three thousand, one hundred eleven".