126507313 has 2 divisors, whose sum is σ = 126507314. Its totient is φ = 126507312.

The previous prime is 126507299. The next prime is 126507317. The reversal of 126507313 is 313705621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90782784 + 35724529 = 9528^2 + 5977^2 .

It is a cyclic number.

It is not a de Polignac number, because 126507313 - 2⁵ = 126507281 is a prime.

It is not a weakly prime, because it can be changed into another prime (126507317) 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, 63253656 + 63253657.

It is an arithmetic number, because the mean of its divisors is an integer number (63253657).

Almost surely, 2^126507313 is an apocalyptic number.

It is an amenable number.

126507313 is a deficient number, since it is larger than the sum of its proper divisors (1).

126507313 is an equidigital number, since it uses as much as digits as its factorization.

126507313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 126507313 is about 11247.5469770079. The cubic root of 126507313 is about 502.0017261571.

The spelling of 126507313 in words is "one hundred twenty-six million, five hundred seven thousand, three hundred thirteen".