2563642769 has 2 divisors, whose sum is σ = 2563642770. Its totient is φ = 2563642768.

The previous prime is 2563642751. The next prime is 2563642771. The reversal of 2563642769 is 9672463652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1464057169 + 1099585600 = 38263^2 + 33160^2 .

It is a cyclic number.

It is not a de Polignac number, because 2563642769 - 2⁸ = 2563642513 is a prime.

It is a super-2 number, since 2×2563642769² = 13144528494091974722, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 2563642771, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2563642799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281821384 + 1281821385.

It is an arithmetic number, because the mean of its divisors is an integer number (1281821385).

Almost surely, 2^2563642769 is an apocalyptic number.

It is an amenable number.

2563642769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2563642769 is an equidigital number, since it uses as much as digits as its factorization.

2563642769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3265920, while the sum is 50.

The square root of 2563642769 is about 50632.4280377704. The cubic root of 2563642769 is about 1368.6293089193.

The spelling of 2563642769 in words is "two billion, five hundred sixty-three million, six hundred forty-two thousand, seven hundred sixty-nine".