126613007 has 2 divisors, whose sum is σ = 126613008. Its totient is φ = 126613006.

The previous prime is 126612989. The next prime is 126613009. The reversal of 126613007 is 700316621.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 126613007 - 2¹⁸ = 126350863 is a prime.

It is a super-3 number, since 3×126613007³ (a number of 25 digits) contains 333 as substring.

Together with 126613009, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126613009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63306503 + 63306504.

It is an arithmetic number, because the mean of its divisors is an integer number (63306504).

Almost surely, 2^126613007 is an apocalyptic number.

126613007 is a deficient number, since it is larger than the sum of its proper divisors (1).

126613007 is an equidigital number, since it uses as much as digits as its factorization.

126613007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 126613007 is about 11252.2445316479. The cubic root of 126613007 is about 502.1414909387.

Adding to 126613007 its reverse (700316621), we get a palindrome (826929628).

The spelling of 126613007 in words is "one hundred twenty-six million, six hundred thirteen thousand, seven".