506051105501 has 2 divisors, whose sum is σ = 506051105502. Its totient is φ = 506051105500.

The previous prime is 506051105491. The next prime is 506051105503. The reversal of 506051105501 is 105501150605.

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., 494947425625 + 11103679876 = 703525^2 + 105374^2 .

It is a cyclic number.

It is not a de Polignac number, because 506051105501 - 2¹⁰ = 506051104477 is a prime.

It is a super-2 number, since 2×506051105501² (a number of 24 digits) contains 22 as substring.

Together with 506051105503, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506051105503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253025552750 + 253025552751.

It is an arithmetic number, because the mean of its divisors is an integer number (253025552751).

Almost surely, 2^506051105501 is an apocalyptic number.

It is an amenable number.

506051105501 is a deficient number, since it is larger than the sum of its proper divisors (1).

506051105501 is an equidigital number, since it uses as much as digits as its factorization.

506051105501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 506051105501 in words is "five hundred six billion, fifty-one million, one hundred five thousand, five hundred one".