505835585241 has 96 divisors (see below), whose sum is σ = 834378330240. Its totient is φ = 271024137216.

The previous prime is 505835585239. The next prime is 505835585249. The reversal of 505835585241 is 142585538505.

It is not a de Polignac number, because 505835585241 - 2¹ = 505835585239 is a prime.

It is a super-2 number, since 2×505835585241² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505835585249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112580791 + ... + 112585283.

It is an arithmetic number, because the mean of its divisors is an integer number (8691440940).

Almost surely, 2^505835585241 is an apocalyptic number.

It is an amenable number.

505835585241 is a deficient number, since it is larger than the sum of its proper divisors (328542744999).

505835585241 is a wasteful number, since it uses less digits than its factorization.

505835585241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 4800000, while the sum is 51.

The spelling of 505835585241 in words is "five hundred five billion, eight hundred thirty-five million, five hundred eighty-five thousand, two hundred forty-one".