505221342125 has 16 divisors (see below), whose sum is σ = 630550220976. Its totient is φ = 404155288000.

The previous prime is 505221342103. The next prime is 505221342127. The reversal of 505221342125 is 521243122505.

It can be written as a sum of positive squares in 8 ways, for example, as 37395437641 + 467825904484 = 193379^2 + 683978^2 .

It is not a de Polignac number, because 505221342125 - 2¹⁰ = 505221341101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505221342091 and 505221342100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505221342127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2460935 + ... + 2658315.

It is an arithmetic number, because the mean of its divisors is an integer number (39409388811).

Almost surely, 2^505221342125 is an apocalyptic number.

It is an amenable number.

505221342125 is a deficient number, since it is larger than the sum of its proper divisors (125328878851).

505221342125 is a wasteful number, since it uses less digits than its factorization.

505221342125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217873 (or 217863 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 505221342125 in words is "five hundred five billion, two hundred twenty-one million, three hundred forty-two thousand, one hundred twenty-five".