505251255461 has 2 divisors, whose sum is σ = 505251255462. Its totient is φ = 505251255460.

The previous prime is 505251255433. The next prime is 505251255463. The reversal of 505251255461 is 164552152505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 390367542436 + 114883713025 = 624794^2 + 338945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505251255461 is a prime.

It is a super-2 number, since 2×505251255461² (a number of 24 digits) contains 22 as substring.

Together with 505251255463, 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 (505251255463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252625627730 + 252625627731.

It is an arithmetic number, because the mean of its divisors is an integer number (252625627731).

Almost surely, 2^505251255461 is an apocalyptic number.

It is an amenable number.

505251255461 is a deficient number, since it is larger than the sum of its proper divisors (1).

505251255461 is an equidigital number, since it uses as much as digits as its factorization.

505251255461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300000, while the sum is 41.

The spelling of 505251255461 in words is "five hundred five billion, two hundred fifty-one million, two hundred fifty-five thousand, four hundred sixty-one".