2628889594753 has 2 divisors, whose sum is σ = 2628889594754. Its totient is φ = 2628889594752.

The previous prime is 2628889594741. The next prime is 2628889594757. The reversal of 2628889594753 is 3574959888262.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2531306456064 + 97583138689 = 1591008^2 + 312383^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2628889594753 is a prime.

It is a super-2 number, since 2×2628889594753² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2628889594753.

It is not a weakly prime, because it can be changed into another prime (2628889594757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1314444797376 + 1314444797377.

It is an arithmetic number, because the mean of its divisors is an integer number (1314444797377).

Almost surely, 2^{2628889594753} is an apocalyptic number.

It is an amenable number.

2628889594753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2628889594753 is an equidigital number, since it uses as much as digits as its factorization.

2628889594753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2090188800, while the sum is 76.

The spelling of 2628889594753 in words is "two trillion, six hundred twenty-eight billion, eight hundred eighty-nine million, five hundred ninety-four thousand, seven hundred fifty-three".