2563353 has 32 divisors (see below), whose sum is σ = 4188800. Its totient is φ = 1539648.

The previous prime is 2563343. The next prime is 2563357. The reversal of 2563353 is 3533652.

2563353 is a `hidden beast` number, since 25 + 633 + 5 + 3 = 666.

2563353 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 2563353 - 2⁹ = 2562841 is a prime.

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

It is a d-powerful number, because it can be written as 2¹⁹ + 5⁷ + 6⁵ + 3 + 3² + 5⁹ + 3³ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2563357) 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 31 ways as a sum of consecutive naturals, for example, 23463 + ... + 23571.

It is an arithmetic number, because the mean of its divisors is an integer number (130900).

2^2563353 is an apocalyptic number.

It is an amenable number.

2563353 is a deficient number, since it is larger than the sum of its proper divisors (1625447).

2563353 is a wasteful number, since it uses less digits than its factorization.

2563353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 2563353 is about 1601.0474696273. The cubic root of 2563353 is about 136.8577741505.

Subtracting 2563353 from its reverse (3533652), we obtain a cube (970299 = 99³).

It can be divided in two parts, 2563 and 353, that added together give a square (2916 = 54²).

The spelling of 2563353 in words is "two million, five hundred sixty-three thousand, three hundred fifty-three".