2564345213 has 16 divisors (see below), whose sum is σ = 2679730560. Its totient is φ = 2450884800.

The previous prime is 2564345207. The next prime is 2564345237. The reversal of 2564345213 is 3125434652.

It is a cyclic number.

It is not a de Polignac number, because 2564345213 - 2⁴ = 2564345197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564345713) 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, 1415078 + ... + 1416888.

It is an arithmetic number, because the mean of its divisors is an integer number (167483160).

Almost surely, 2^2564345213 is an apocalyptic number.

It is an amenable number.

2564345213 is a deficient number, since it is larger than the sum of its proper divisors (115385347).

2564345213 is a wasteful number, since it uses less digits than its factorization.

2564345213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308.

The product of its digits is 86400, while the sum is 35.

The square root of 2564345213 is about 50639.3642633870. The cubic root of 2564345213 is about 1368.7543000275.

Adding to 2564345213 its reverse (3125434652), we get a palindrome (5689779865).

The spelling of 2564345213 in words is "two billion, five hundred sixty-four million, three hundred forty-five thousand, two hundred thirteen".