2563101 has 24 divisors (see below), whose sum is σ = 3912480. Its totient is φ = 1614816.

The previous prime is 2563087. The next prime is 2563109. The reversal of 2563101 is 1013652.

2563101 is a `hidden beast` number, since 2 + 563 + 101 = 666.

2563101 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 2563101 - 2⁹ = 2562589 is a prime.

2563101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563109) 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, 14230 + ... + 14408.

It is an arithmetic number, because the mean of its divisors is an integer number (163020).

2^2563101 is an apocalyptic number.

It is an amenable number.

2563101 is a deficient number, since it is larger than the sum of its proper divisors (1349379).

2563101 is a wasteful number, since it uses less digits than its factorization.

2563101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2563101 is about 1600.9687692144. The cubic root of 2563101 is about 136.8532892318.

Adding to 2563101 its reverse (1013652), we get a palindrome (3576753).

The spelling of 2563101 in words is "two million, five hundred sixty-three thousand, one hundred one".