126585517 has 2 divisors, whose sum is σ = 126585518. Its totient is φ = 126585516.

The previous prime is 126585497. The next prime is 126585521. The reversal of 126585517 is 715585621.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120758121 + 5827396 = 10989^2 + 2414^2 .

It is an emirp because it is prime and its reverse (715585621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126585517 - 2¹¹ = 126583469 is a prime.

It is a super-2 number, since 2×126585517² = 32047786228314578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126585517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106585517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63292758 + 63292759.

It is an arithmetic number, because the mean of its divisors is an integer number (63292759).

Almost surely, 2^126585517 is an apocalyptic number.

It is an amenable number.

126585517 is a deficient number, since it is larger than the sum of its proper divisors (1).

126585517 is an equidigital number, since it uses as much as digits as its factorization.

126585517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84000, while the sum is 40.

The square root of 126585517 is about 11251.0229312716. The cubic root of 126585517 is about 502.1051469404.

The spelling of 126585517 in words is "one hundred twenty-six million, five hundred eighty-five thousand, five hundred seventeen".