617982078257 has 2 divisors, whose sum is σ = 617982078258. Its totient is φ = 617982078256.

The previous prime is 617982078239. The next prime is 617982078319. The reversal of 617982078257 is 752870289716.

617982078257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (617982078319) can be obtained adding 617982078257 to its sum of digits (62).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 435277979536 + 182704098721 = 659756^2 + 427439^2 .

It is a cyclic number.

It is not a de Polignac number, because 617982078257 - 2⁸ = 617982078001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 617982078257.

It is not a weakly prime, because it can be changed into another prime (617982078757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308991039128 + 308991039129.

It is an arithmetic number, because the mean of its divisors is an integer number (308991039129).

Almost surely, 2^617982078257 is an apocalyptic number.

It is an amenable number.

617982078257 is a deficient number, since it is larger than the sum of its proper divisors (1).

617982078257 is an equidigital number, since it uses as much as digits as its factorization.

617982078257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23708160, while the sum is 62.

The spelling of 617982078257 in words is "six hundred seventeen billion, nine hundred eighty-two million, seventy-eight thousand, two hundred fifty-seven".