1256616941 has 2 divisors, whose sum is σ = 1256616942. Its totient is φ = 1256616940.

The previous prime is 1256616923. The next prime is 1256616943. The reversal of 1256616941 is 1496166521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1256418916 + 198025 = 35446^2 + 445^2 .

It is a cyclic number.

It is not a de Polignac number, because 1256616941 - 2⁶ = 1256616877 is a prime.

It is a super-3 number, since 3×1256616941³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1256616943, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1256616943) 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, 628308470 + 628308471.

It is an arithmetic number, because the mean of its divisors is an integer number (628308471).

Almost surely, 2^1256616941 is an apocalyptic number.

It is an amenable number.

1256616941 is a deficient number, since it is larger than the sum of its proper divisors (1).

1256616941 is an equidigital number, since it uses as much as digits as its factorization.

1256616941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 41.

The square root of 1256616941 is about 35448.7932234653. The cubic root of 1256616941 is about 1079.1147698688.

The spelling of 1256616941 in words is "one billion, two hundred fifty-six million, six hundred sixteen thousand, nine hundred forty-one".