505225311305 has 128 divisors (see below), whose sum is σ = 734471442432. Its totient is φ = 328809600000.

The previous prime is 505225311301. The next prime is 505225311313. The reversal of 505225311305 is 503113522505.

It is not a de Polignac number, because 505225311305 - 2² = 505225311301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505225311301) 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 in 127 ways as a sum of consecutive naturals, for example, 1081852682 + ... + 1081853148.

It is an arithmetic number, because the mean of its divisors is an integer number (5738058144).

Almost surely, 2^505225311305 is an apocalyptic number.

505225311305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505225311305 is a deficient number, since it is larger than the sum of its proper divisors (229246131127).

505225311305 is a wasteful number, since it uses less digits than its factorization.

505225311305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879.

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 505225311305 in words is "five hundred five billion, two hundred twenty-five million, three hundred eleven thousand, three hundred five".