2564134567997 has 2 divisors, whose sum is σ = 2564134567998. Its totient is φ = 2564134567996.

The previous prime is 2564134567987. The next prime is 2564134568089. The reversal of 2564134567997 is 7997654314652.

2564134567997 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1851411963556 + 712722604441 = 1360666^2 + 844229^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564134567997 - 2¹⁴ = 2564134551613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564134567957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282067283998 + 1282067283999.

It is an arithmetic number, because the mean of its divisors is an integer number (1282067283999).

Almost surely, 2^{2564134567997} is an apocalyptic number.

It is an amenable number.

2564134567997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564134567997 is an equidigital number, since it uses as much as digits as its factorization.

2564134567997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 342921600, while the sum is 68.

The spelling of 2564134567997 in words is "two trillion, five hundred sixty-four billion, one hundred thirty-four million, five hundred sixty-seven thousand, nine hundred ninety-seven".