2563201 has 3 divisors (see below), whose sum is σ = 2564803. Its totient is φ = 2561600.

The previous prime is 2563199. The next prime is 2563207. The reversal of 2563201 is 1023652.

It is a happy number.

The square root of 2563201 is 1601.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2556801 + 6400 = 1599^2 + 80^2 .

It is not a de Polignac number, because 2563201 - 2¹ = 2563199 is a prime.

It is a Duffinian number.

2563201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2563207) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 801 + ... + 2401.

2^2563201 is an apocalyptic number.

2563201 is the 1601-st square number.

2563201 is the 801-st centered octagonal number.

It is an amenable number.

2563201 is a deficient number, since it is larger than the sum of its proper divisors (1602).

2563201 is an frugal number, since it uses more digits than its factorization.

2563201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 2563201 is about 136.8550689966.

Adding to 2563201 its reverse (1023652), we get a palindrome (3586853).

The spelling of 2563201 in words is "two million, five hundred sixty-three thousand, two hundred one".