2564341397 has 2 divisors, whose sum is σ = 2564341398. Its totient is φ = 2564341396.

The previous prime is 2564341393. The next prime is 2564341411. The reversal of 2564341397 is 7931434652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1588341316 + 976000081 = 39854^2 + 31241^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564341397 - 2² = 2564341393 is a prime.

It is a super-3 number, since 3×2564341397³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564341393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282170698 + 1282170699.

It is an arithmetic number, because the mean of its divisors is an integer number (1282170699).

Almost surely, 2^2564341397 is an apocalyptic number.

It is an amenable number.

2564341397 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564341397 is an equidigital number, since it uses as much as digits as its factorization.

2564341397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 44.

The square root of 2564341397 is about 50639.3265851749. The cubic root of 2564341397 is about 1368.7536210798.

The spelling of 2564341397 in words is "two billion, five hundred sixty-four million, three hundred forty-one thousand, three hundred ninety-seven".