1005252124117 has 2 divisors, whose sum is σ = 1005252124118. Its totient is φ = 1005252124116.

The previous prime is 1005252124081. The next prime is 1005252124153. The reversal of 1005252124117 is 7114212525001.

It is a balanced prime because it is at equal distance from previous prime (1005252124081) and next prime (1005252124153).

It can be written as a sum of positive squares in only one way, i.e., 1003831663396 + 1420460721 = 1001914^2 + 37689^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005252124117 - 2³¹ = 1003104640469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005252184117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502626062058 + 502626062059.

It is an arithmetic number, because the mean of its divisors is an integer number (502626062059).

Almost surely, 2^{1005252124117} is an apocalyptic number.

It is an amenable number.

1005252124117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005252124117 is an equidigital number, since it uses as much as digits as its factorization.

1005252124117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5600, while the sum is 31.

Adding to 1005252124117 its reverse (7114212525001), we get a palindrome (8119464649118).

The spelling of 1005252124117 in words is "one trillion, five billion, two hundred fifty-two million, one hundred twenty-four thousand, one hundred seventeen".