2564809073 has 2 divisors, whose sum is σ = 2564809074. Its totient is φ = 2564809072.

The previous prime is 2564809067. The next prime is 2564809081. The reversal of 2564809073 is 3709084652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2038703104 + 526105969 = 45152^2 + 22937^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564809073 - 2¹⁴ = 2564792689 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2564809573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282404536 + 1282404537.

It is an arithmetic number, because the mean of its divisors is an integer number (1282404537).

Almost surely, 2^2564809073 is an apocalyptic number.

It is an amenable number.

2564809073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564809073 is an equidigital number, since it uses as much as digits as its factorization.

2564809073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 2564809073 is about 50643.9440900884. The cubic root of 2564809073 is about 1368.8368255897.

The spelling of 2564809073 in words is "two billion, five hundred sixty-four million, eight hundred nine thousand, seventy-three".