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610610113 is a prime number
BaseRepresentation
bin100100011001010…
…010101111000001
31120112222012121101
4210121102233001
52222304010423
6140331254401
721063046261
oct4431225701
91515865541
10610610113
11293745463
121505aa401
1399672079
145b1497a1
15389167ad
hex24652bc1

610610113 has 2 divisors, whose sum is σ = 610610114. Its totient is φ = 610610112.

The previous prime is 610610111. The next prime is 610610123. The reversal of 610610113 is 311016016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 469285569 + 141324544 = 21663^2 + 11888^2 .

It is a cyclic number.

It is not a de Polignac number, because 610610113 - 21 = 610610111 is a prime.

Together with 610610111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (610610111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305305056 + 305305057.

It is an arithmetic number, because the mean of its divisors is an integer number (305305057).

Almost surely, 2610610113 is an apocalyptic number.

It is an amenable number.

610610113 is a deficient number, since it is larger than the sum of its proper divisors (1).

610610113 is an equidigital number, since it uses as much as digits as its factorization.

610610113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 610610113 is about 24710.5263602377. The cubic root of 610610113 is about 848.3752645386.

Adding to 610610113 its reverse (311016016), we get a palindrome (921626129).

The spelling of 610610113 in words is "six hundred ten million, six hundred ten thousand, one hundred thirteen".