2256511353241 has 2 divisors, whose sum is σ = 2256511353242. Its totient is φ = 2256511353240.

The previous prime is 2256511353211. The next prime is 2256511353253. The reversal of 2256511353241 is 1423531156522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2062012712841 + 194498640400 = 1435971^2 + 441020^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256511353241 - 2²⁹ = 2255974482329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2256511353194 and 2256511353203.

It is not a weakly prime, because it can be changed into another prime (2256511353211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128255676620 + 1128255676621.

It is an arithmetic number, because the mean of its divisors is an integer number (1128255676621).

Almost surely, 2^{2256511353241} is an apocalyptic number.

It is an amenable number.

2256511353241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256511353241 is an equidigital number, since it uses as much as digits as its factorization.

2256511353241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216000, while the sum is 40.

The spelling of 2256511353241 in words is "two trillion, two hundred fifty-six billion, five hundred eleven million, three hundred fifty-three thousand, two hundred forty-one".