1005234450257 has 2 divisors, whose sum is σ = 1005234450258. Its totient is φ = 1005234450256.

The previous prime is 1005234450223. The next prime is 1005234450347. The reversal of 1005234450257 is 7520544325001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 988942735936 + 16291714321 = 994456^2 + 127639^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005234450257 - 2²⁶ = 1005167341393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005234450257.

It is not a weakly prime, because it can be changed into another prime (1005234450757) 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, 502617225128 + 502617225129.

It is an arithmetic number, because the mean of its divisors is an integer number (502617225129).

Almost surely, 2^{1005234450257} is an apocalyptic number.

It is an amenable number.

1005234450257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005234450257 is an equidigital number, since it uses as much as digits as its factorization.

1005234450257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168000, while the sum is 38.

Adding to 1005234450257 its reverse (7520544325001), we get a palindrome (8525778775258).

The spelling of 1005234450257 in words is "one trillion, five billion, two hundred thirty-four million, four hundred fifty thousand, two hundred fifty-seven".