1005252145361 has 2 divisors, whose sum is σ = 1005252145362. Its totient is φ = 1005252145360.

The previous prime is 1005252145307. The next prime is 1005252145501. The reversal of 1005252145361 is 1635412525001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 653639910400 + 351612234961 = 808480^2 + 592969^2 .

It is an emirp because it is prime and its reverse (1635412525001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005252145361 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005252165361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502626072680 + 502626072681.

It is an arithmetic number, because the mean of its divisors is an integer number (502626072681).

Almost surely, 2^{1005252145361} is an apocalyptic number.

It is an amenable number.

1005252145361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005252145361 is an equidigital number, since it uses as much as digits as its factorization.

1005252145361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 1005252145361 in words is "one trillion, five billion, two hundred fifty-two million, one hundred forty-five thousand, three hundred sixty-one".