2551759248193 has 2 divisors, whose sum is σ = 2551759248194. Its totient is φ = 2551759248192.

The previous prime is 2551759248173. The next prime is 2551759248209. The reversal of 2551759248193 is 3918429571552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2341658941504 + 210100306689 = 1530248^2 + 458367^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551759248193 - 2¹⁷ = 2551759117121 is a prime.

It is a super-2 number, since 2×2551759248193² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2551759248173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275879624096 + 1275879624097.

It is an arithmetic number, because the mean of its divisors is an integer number (1275879624097).

Almost surely, 2^{2551759248193} is an apocalyptic number.

It is an amenable number.

2551759248193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551759248193 is an equidigital number, since it uses as much as digits as its factorization.

2551759248193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216000, while the sum is 61.

The spelling of 2551759248193 in words is "two trillion, five hundred fifty-one billion, seven hundred fifty-nine million, two hundred forty-eight thousand, one hundred ninety-three".