1005413312251 has 2 divisors, whose sum is σ = 1005413312252. Its totient is φ = 1005413312250.

The previous prime is 1005413312249. The next prime is 1005413312263. The reversal of 1005413312251 is 1522133145001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005413312251 - 2¹ = 1005413312249 is a prime.

Together with 1005413312249, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1005413312851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502706656125 + 502706656126.

It is an arithmetic number, because the mean of its divisors is an integer number (502706656126).

Almost surely, 2^{1005413312251} is an apocalyptic number.

1005413312251 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005413312251 is an equidigital number, since it uses as much as digits as its factorization.

1005413312251 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 1005413312251 its reverse (1522133145001), we get a palindrome (2527546457252).

The spelling of 1005413312251 in words is "one trillion, five billion, four hundred thirteen million, three hundred twelve thousand, two hundred fifty-one".