2255263516017 has 48 divisors (see below), whose sum is σ = 3526192295808. Its totient is φ = 1437707905920.

The previous prime is 2255263515961. The next prime is 2255263516081. The reversal of 2255263516017 is 7106153625522.

It is a happy number.

2255263516017 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 2 + 6 + 35 + 1 + 601 + 7 = 666.

It is not a de Polignac number, because 2255263516017 - 2⁸ = 2255263515761 is a prime.

It is a super-2 number, since 2×2255263516017² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2255263506017) 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 in 47 ways as a sum of consecutive naturals, for example, 19128267 + ... + 19245807.

It is an arithmetic number, because the mean of its divisors is an integer number (73462339496).

Almost surely, 2^{2255263516017} is an apocalyptic number.

2255263516017 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2255263516017 is a deficient number, since it is larger than the sum of its proper divisors (1270928779791).

2255263516017 is a wasteful number, since it uses less digits than its factorization.

2255263516017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121012 (or 121000 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2255263516017 in words is "two trillion, two hundred fifty-five billion, two hundred sixty-three million, five hundred sixteen thousand, seventeen".