505110610061 has 2 divisors, whose sum is σ = 505110610062. Its totient is φ = 505110610060.

The previous prime is 505110610009. The next prime is 505110610063. The reversal of 505110610061 is 160016011505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 477252997225 + 27857612836 = 690835^2 + 166906^2 .

It is a cyclic number.

It is not a de Polignac number, because 505110610061 - 2³⁸ = 230232703117 is a prime.

Together with 505110610063, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505110610061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505110610063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252555305030 + 252555305031.

It is an arithmetic number, because the mean of its divisors is an integer number (252555305031).

Almost surely, 2^505110610061 is an apocalyptic number.

It is an amenable number.

505110610061 is a deficient number, since it is larger than the sum of its proper divisors (1).

505110610061 is an equidigital number, since it uses as much as digits as its factorization.

505110610061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 505110610061 its reverse (160016011505), we get a palindrome (665126621566).

The spelling of 505110610061 in words is "five hundred five billion, one hundred ten million, six hundred ten thousand, sixty-one".