2563521 has 8 divisors (see below), whose sum is σ = 3490944. Its totient is φ = 1672560.

The previous prime is 2563507. The next prime is 2563523. The reversal of 2563521 is 1253652.

2563521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2563521 - 2⁵ = 2563489 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2563491 and 2563500.

It is not an unprimeable number, because it can be changed into a prime (2563523) 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 7 ways as a sum of consecutive naturals, for example, 8950 + ... + 9231.

It is an arithmetic number, because the mean of its divisors is an integer number (436368).

2^2563521 is an apocalyptic number.

It is an amenable number.

2563521 is a deficient number, since it is larger than the sum of its proper divisors (927423).

2563521 is a wasteful number, since it uses less digits than its factorization.

2563521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18231.

The product of its digits is 1800, while the sum is 24.

The square root of 2563521 is about 1601.0999344201. The cubic root of 2563521 is about 136.8607639330.

It can be divided in two parts, 25 and 63521, that added together give a triangular number (63546 = T₃₅₆).

The spelling of 2563521 in words is "two million, five hundred sixty-three thousand, five hundred twenty-one".