2564510253 has 16 divisors (see below), whose sum is σ = 3481304640. Its totient is φ = 1678973184.

The previous prime is 2564510243. The next prime is 2564510257. The reversal of 2564510253 is 3520154652.

2564510253 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 2564510253 - 2²⁴ = 2547733037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564510257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2250 + ... + 71652.

It is an arithmetic number, because the mean of its divisors is an integer number (217581540).

Almost surely, 2^2564510253 is an apocalyptic number.

It is an amenable number.

2564510253 is a deficient number, since it is larger than the sum of its proper divisors (916794387).

2564510253 is a wasteful number, since it uses less digits than its factorization.

2564510253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69628.

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2564510253 is about 50640.9937994902. The cubic root of 2564510253 is about 1368.7836635160.

The spelling of 2564510253 in words is "two billion, five hundred sixty-four million, five hundred ten thousand, two hundred fifty-three".