505005051101 has 2 divisors, whose sum is σ = 505005051102. Its totient is φ = 505005051100.

The previous prime is 505005051071. The next prime is 505005051121. The reversal of 505005051101 is 101150500505.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 426213122500 + 78791928601 = 652850^2 + 280699^2 .

It is a cyclic number.

It is not a de Polignac number, because 505005051101 - 2³⁴ = 487825181917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505005051121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252502525550 + 252502525551.

It is an arithmetic number, because the mean of its divisors is an integer number (252502525551).

Almost surely, 2^505005051101 is an apocalyptic number.

It is an amenable number.

505005051101 is a deficient number, since it is larger than the sum of its proper divisors (1).

505005051101 is an equidigital number, since it uses as much as digits as its factorization.

505005051101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 625, while the sum is 23.

Adding to 505005051101 its reverse (101150500505), we get a palindrome (606155551606).

The spelling of 505005051101 in words is "five hundred five billion, five million, fifty-one thousand, one hundred one".