677610113 has 2 divisors, whose sum is σ = 677610114. Its totient is φ = 677610112.

The previous prime is 677610079. The next prime is 677610137. The reversal of 677610113 is 311016776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 668325904 + 9284209 = 25852^2 + 3047^2 .

It is a cyclic number.

It is not a de Polignac number, because 677610113 - 2¹⁶ = 677544577 is a prime.

It is a super-3 number, since 3×677610113³ (a number of 27 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_35152385 and since 677610113 and 35152385 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 677610113.

It is not a weakly prime, because it can be changed into another prime (677610173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338805056 + 338805057.

It is an arithmetic number, because the mean of its divisors is an integer number (338805057).

Almost surely, 2^677610113 is an apocalyptic number.

It is an amenable number.

677610113 is a deficient number, since it is larger than the sum of its proper divisors (1).

677610113 is an equidigital number, since it uses as much as digits as its factorization.

677610113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 677610113 is about 26030.9452959358. The cubic root of 677610113 is about 878.3345363589.

Adding to 677610113 its reverse (311016776), we get a palindrome (988626889).

The spelling of 677610113 in words is "six hundred seventy-seven million, six hundred ten thousand, one hundred thirteen".