2597728313 has 2 divisors, whose sum is σ = 2597728314. Its totient is φ = 2597728312.

The previous prime is 2597728303. The next prime is 2597728319. The reversal of 2597728313 is 3138277952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1408651024 + 1189077289 = 37532^2 + 34483^2 .

It is a cyclic number.

It is not a de Polignac number, because 2597728313 - 2¹⁶ = 2597662777 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 (2597728319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1298864156 + 1298864157.

It is an arithmetic number, because the mean of its divisors is an integer number (1298864157).

Almost surely, 2^2597728313 is an apocalyptic number.

It is an amenable number.

2597728313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2597728313 is an equidigital number, since it uses as much as digits as its factorization.

2597728313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 635040, while the sum is 47.

The square root of 2597728313 is about 50967.9145443484. The cubic root of 2597728313 is about 1374.6682726804.

The spelling of 2597728313 in words is "two billion, five hundred ninety-seven million, seven hundred twenty-eight thousand, three hundred thirteen".