2837025607681 has 2 divisors, whose sum is σ = 2837025607682. Its totient is φ = 2837025607680.

The previous prime is 2837025607679. The next prime is 2837025607733. The reversal of 2837025607681 is 1867065207382.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2829850670656 + 7174937025 = 1682216^2 + 84705^2 .

It is a cyclic number.

It is not a de Polignac number, because 2837025607681 - 2¹ = 2837025607679 is a prime.

It is a super-2 number, since 2×2837025607681² (a number of 26 digits) contains 22 as substring.

Together with 2837025607679, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2837025607621) 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 as a sum of consecutive naturals, namely, 1418512803840 + 1418512803841.

It is an arithmetic number, because the mean of its divisors is an integer number (1418512803841).

Almost surely, 2^{2837025607681} is an apocalyptic number.

It is an amenable number.

2837025607681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2837025607681 is an equidigital number, since it uses as much as digits as its factorization.

2837025607681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 2837025607681 in words is "two trillion, eight hundred thirty-seven billion, twenty-five million, six hundred seven thousand, six hundred eighty-one".