2564225213 has 16 divisors (see below), whose sum is σ = 2847609600. Its totient is φ = 2289530880.

The previous prime is 2564225207. The next prime is 2564225227. The reversal of 2564225213 is 3125224652.

It is a cyclic number.

It is not a de Polignac number, because 2564225213 - 2¹⁶ = 2564159677 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2564225213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564225513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160073 + ... + 175361.

It is an arithmetic number, because the mean of its divisors is an integer number (177975600).

Almost surely, 2^2564225213 is an apocalyptic number.

It is an amenable number.

2564225213 is a deficient number, since it is larger than the sum of its proper divisors (283384387).

2564225213 is a wasteful number, since it uses less digits than its factorization.

2564225213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572.

The product of its digits is 28800, while the sum is 32.

The square root of 2564225213 is about 50638.1794005274. The cubic root of 2564225213 is about 1368.7329491478.

Adding to 2564225213 its reverse (3125224652), we get a palindrome (5689449865).

The spelling of 2564225213 in words is "two billion, five hundred sixty-four million, two hundred twenty-five thousand, two hundred thirteen".