257340617797 has 2 divisors, whose sum is σ = 257340617798. Its totient is φ = 257340617796.

The previous prime is 257340617641. The next prime is 257340617801. The reversal of 257340617797 is 797716043752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160449114721 + 96891503076 = 400561^2 + 311274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257340617797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257340617297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128670308898 + 128670308899.

It is an arithmetic number, because the mean of its divisors is an integer number (128670308899).

Almost surely, 2^257340617797 is an apocalyptic number.

It is an amenable number.

257340617797 is a deficient number, since it is larger than the sum of its proper divisors (1).

257340617797 is an equidigital number, since it uses as much as digits as its factorization.

257340617797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15558480, while the sum is 58.

The spelling of 257340617797 in words is "two hundred fifty-seven billion, three hundred forty million, six hundred seventeen thousand, seven hundred ninety-seven".