2560823329 has 2 divisors, whose sum is σ = 2560823330. Its totient is φ = 2560823328.

The previous prime is 2560823327. The next prime is 2560823347. The reversal of 2560823329 is 9233280652.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2558336400 + 2486929 = 50580^2 + 1577^2 .

It is a cyclic number.

It is not a de Polignac number, because 2560823329 - 2¹ = 2560823327 is a prime.

It is a super-2 number, since 2×2560823329² = 13115632244701284482, which contains 22 as substring.

Together with 2560823327, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2560823291 and 2560823300.

It is not a weakly prime, because it can be changed into another prime (2560823327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280411664 + 1280411665.

It is an arithmetic number, because the mean of its divisors is an integer number (1280411665).

Almost surely, 2^2560823329 is an apocalyptic number.

It is an amenable number.

2560823329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2560823329 is an equidigital number, since it uses as much as digits as its factorization.

2560823329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 2560823329 is about 50604.5781426938. The cubic root of 2560823329 is about 1368.1273950375.

The spelling of 2560823329 in words is "two billion, five hundred sixty million, eight hundred twenty-three thousand, three hundred twenty-nine".