257340617641 has 2 divisors, whose sum is σ = 257340617642. Its totient is φ = 257340617640.

The previous prime is 257340617617. The next prime is 257340617797. The reversal of 257340617641 is 146716043752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156325344400 + 101015273241 = 395380^2 + 317829^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257340617641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257340617591 and 257340617600.

It is not a weakly prime, because it can be changed into another prime (257340618641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128670308820 + 128670308821.

It is an arithmetic number, because the mean of its divisors is an integer number (128670308821).

Almost surely, 2^257340617641 is an apocalyptic number.

It is an amenable number.

257340617641 is a deficient number, since it is larger than the sum of its proper divisors (1).

257340617641 is an equidigital number, since it uses as much as digits as its factorization.

257340617641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 257340617641 in words is "two hundred fifty-seven billion, three hundred forty million, six hundred seventeen thousand, six hundred forty-one".