678698123137 has 2 divisors, whose sum is σ = 678698123138. Its totient is φ = 678698123136.

The previous prime is 678698123087. The next prime is 678698123177. The reversal of 678698123137 is 731321896876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 586818813681 + 91879309456 = 766041^2 + 303116^2 .

It is a cyclic number.

It is not a de Polignac number, because 678698123137 - 2³¹ = 676550639489 is a prime.

It is a super-3 number, since 3×678698123137³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (678698123177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 339349061568 + 339349061569.

It is an arithmetic number, because the mean of its divisors is an integer number (339349061569).

Almost surely, 2^678698123137 is an apocalyptic number.

It is an amenable number.

678698123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

678698123137 is an equidigital number, since it uses as much as digits as its factorization.

678698123137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18289152, while the sum is 61.

The spelling of 678698123137 in words is "six hundred seventy-eight billion, six hundred ninety-eight million, one hundred twenty-three thousand, one hundred thirty-seven".