678513137 has 2 divisors, whose sum is σ = 678513138. Its totient is φ = 678513136.

The previous prime is 678513107. The next prime is 678513139. The reversal of 678513137 is 731315876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 678133681 + 379456 = 26041^2 + 616^2 .

It is a cyclic number.

It is not a de Polignac number, because 678513137 - 2²² = 674318833 is a prime.

Together with 678513139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 678513094 and 678513103.

It is not a weakly prime, because it can be changed into another prime (678513139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 339256568 + 339256569.

It is an arithmetic number, because the mean of its divisors is an integer number (339256569).

Almost surely, 2^678513137 is an apocalyptic number.

It is an amenable number.

678513137 is a deficient number, since it is larger than the sum of its proper divisors (1).

678513137 is an equidigital number, since it uses as much as digits as its factorization.

678513137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105840, while the sum is 41.

The square root of 678513137 is about 26048.2847227989. The cubic root of 678513137 is about 878.7245369780.

The spelling of 678513137 in words is "six hundred seventy-eight million, five hundred thirteen thousand, one hundred thirty-seven".