2728518130097 has 2 divisors, whose sum is σ = 2728518130098. Its totient is φ = 2728518130096.

The previous prime is 2728518130067. The next prime is 2728518130111. The reversal of 2728518130097 is 7900318158272.

2728518130097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1405353346576 + 1323164783521 = 1185476^2 + 1150289^2 .

It is a cyclic number.

It is not a de Polignac number, because 2728518130097 - 2¹⁶ = 2728518064561 is a prime.

It is a super-2 number, since 2×2728518130097² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2728518130067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1364259065048 + 1364259065049.

It is an arithmetic number, because the mean of its divisors is an integer number (1364259065049).

Almost surely, 2^{2728518130097} is an apocalyptic number.

It is an amenable number.

2728518130097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2728518130097 is an equidigital number, since it uses as much as digits as its factorization.

2728518130097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1693440, while the sum is 53.

The spelling of 2728518130097 in words is "two trillion, seven hundred twenty-eight billion, five hundred eighteen million, one hundred thirty thousand, ninety-seven".