61131017 has 2 divisors, whose sum is σ = 61131018. Its totient is φ = 61131016.

The previous prime is 61131011. The next prime is 61131023. The reversal of 61131017 is 71013116.

It is a balanced prime because it is at equal distance from previous prime (61131011) and next prime (61131023).

It can be written as a sum of positive squares in only one way, i.e., 55636681 + 5494336 = 7459^2 + 2344^2 .

It is a cyclic number.

It is not a de Polignac number, because 61131017 - 2¹² = 61126921 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61131017.

It is not a weakly prime, because it can be changed into another prime (61131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30565508 + 30565509.

It is an arithmetic number, because the mean of its divisors is an integer number (30565509).

Almost surely, 2^61131017 is an apocalyptic number.

It is an amenable number.

61131017 is a deficient number, since it is larger than the sum of its proper divisors (1).

61131017 is an equidigital number, since it uses as much as digits as its factorization.

61131017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 61131017 is about 7818.6326809743. The cubic root of 61131017 is about 393.9313463139.

The spelling of 61131017 in words is "sixty-one million, one hundred thirty-one thousand, seventeen".