2656501401241 has 2 divisors, whose sum is σ = 2656501401242. Its totient is φ = 2656501401240.

The previous prime is 2656501401167. The next prime is 2656501401263. The reversal of 2656501401241 is 1421041056562.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2208184112016 + 448317289225 = 1485996^2 + 669565^2 .

It is a cyclic number.

It is not a de Polignac number, because 2656501401241 - 2¹¹ = 2656501399193 is a prime.

It is a super-3 number, since 3×2656501401241³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2656501401241.

It is not a weakly prime, because it can be changed into another prime (2656501401641) 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, 1328250700620 + 1328250700621.

It is an arithmetic number, because the mean of its divisors is an integer number (1328250700621).

Almost surely, 2^{2656501401241} is an apocalyptic number.

It is an amenable number.

2656501401241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2656501401241 is an equidigital number, since it uses as much as digits as its factorization.

2656501401241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 2656501401241 in words is "two trillion, six hundred fifty-six billion, five hundred one million, four hundred one thousand, two hundred forty-one".