2557653 has 24 divisors (see below), whose sum is σ = 4027392. Its totient is φ = 1439424.

The previous prime is 2557649. The next prime is 2557663. The reversal of 2557653 is 3567552.

2557653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2557653 - 2² = 2557649 is a prime.

It is a d-powerful number, because it can be written as 2²¹ + 5² + 5⁴ + 7⁴ + 6⁵ + 5⁸ + 3¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18601 + ... + 18737.

It is an arithmetic number, because the mean of its divisors is an integer number (167808).

2^2557653 is an apocalyptic number.

It is an amenable number.

2557653 is a deficient number, since it is larger than the sum of its proper divisors (1469739).

2557653 is a wasteful number, since it uses less digits than its factorization.

2557653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its digits is 31500, while the sum is 33.

The square root of 2557653 is about 1599.2663943196. The cubic root of 2557653 is about 136.7562576025.

The spelling of 2557653 in words is "two million, five hundred fifty-seven thousand, six hundred fifty-three".