506110127249 has 2 divisors, whose sum is σ = 506110127250. Its totient is φ = 506110127248.

The previous prime is 506110127189. The next prime is 506110127251. The reversal of 506110127249 is 942721011605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361970689600 + 144139437649 = 601640^2 + 379657^2 .

It is a cyclic number.

It is not a de Polignac number, because 506110127249 - 2²⁸ = 505841691793 is a prime.

It is a super-2 number, since 2×506110127249² (a number of 24 digits) contains 22 as substring.

Together with 506110127251, 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 (506110127449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253055063624 + 253055063625.

It is an arithmetic number, because the mean of its divisors is an integer number (253055063625).

Almost surely, 2^506110127249 is an apocalyptic number.

It is an amenable number.

506110127249 is a deficient number, since it is larger than the sum of its proper divisors (1).

506110127249 is an equidigital number, since it uses as much as digits as its factorization.

506110127249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 506110127249 in words is "five hundred six billion, one hundred ten million, one hundred twenty-seven thousand, two hundred forty-nine".