2256520211011 has 12 divisors (see below), whose sum is σ = 2549470256424. Its totient is φ = 1980644691200.

The previous prime is 2256520211009. The next prime is 2256520211083. The reversal of 2256520211011 is 1101120256522.

It is not a de Polignac number, because 2256520211011 - 2¹ = 2256520211009 is a prime.

It is a super-2 number, since 2×2256520211011² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2256520217011) 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 in 11 ways as a sum of consecutive naturals, for example, 121951630 + ... + 121970131.

It is an arithmetic number, because the mean of its divisors is an integer number (212455854702).

Almost surely, 2^{2256520211011} is an apocalyptic number.

2256520211011 is a deficient number, since it is larger than the sum of its proper divisors (292950045413).

2256520211011 is a wasteful number, since it uses less digits than its factorization.

2256520211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243921830 (or 243921801 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 2256520211011 its reverse (1101120256522), we get a palindrome (3357640467533).

It can be divided in two parts, 2256520 and 211011, that added together give a triangular number (2467531 = T₂₂₂₁).

The spelling of 2256520211011 in words is "two trillion, two hundred fifty-six billion, five hundred twenty million, two hundred eleven thousand, eleven".