2005501341251 has 2 divisors, whose sum is σ = 2005501341252. Its totient is φ = 2005501341250.

The previous prime is 2005501341199. The next prime is 2005501341253. The reversal of 2005501341251 is 1521431055002.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2005501341251 - 2²⁶ = 2005434232387 is a prime.

Together with 2005501341253, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2005501341253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002750670625 + 1002750670626.

It is an arithmetic number, because the mean of its divisors is an integer number (1002750670626).

Almost surely, 2^{2005501341251} is an apocalyptic number.

2005501341251 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005501341251 is an equidigital number, since it uses as much as digits as its factorization.

2005501341251 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 2005501341251 its reverse (1521431055002), we get a palindrome (3526932396253).

The spelling of 2005501341251 in words is "two trillion, five billion, five hundred one million, three hundred forty-one thousand, two hundred fifty-one".