2551888387417 has 2 divisors, whose sum is σ = 2551888387418. Its totient is φ = 2551888387416.

The previous prime is 2551888387397. The next prime is 2551888387427. The reversal of 2551888387417 is 7147838881552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2510817717136 + 41070670281 = 1584556^2 + 202659^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551888387417 - 2³¹ = 2549740903769 is a prime.

It is not a weakly prime, because it can be changed into another prime (2551888387427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275944193708 + 1275944193709.

It is an arithmetic number, because the mean of its divisors is an integer number (1275944193709).

Almost surely, 2^{2551888387417} is an apocalyptic number.

It is an amenable number.

2551888387417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551888387417 is an equidigital number, since it uses as much as digits as its factorization.

2551888387417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120422400, while the sum is 67.

The spelling of 2551888387417 in words is "two trillion, five hundred fifty-one billion, eight hundred eighty-eight million, three hundred eighty-seven thousand, four hundred seventeen".