505575603261 has 16 divisors (see below), whose sum is σ = 749039704000. Its totient is φ = 337032937584.

The previous prime is 505575603259. The next prime is 505575603277. The reversal of 505575603261 is 162306575505.

505575603261 is a `hidden beast` number, since 5 + 0 + 5 + 57 + 560 + 32 + 6 + 1 = 666.

It is not a de Polignac number, because 505575603261 - 2¹ = 505575603259 is a prime.

It is a super-2 number, since 2×505575603261² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505575601261) 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, 56595 + ... + 1007151.

It is an arithmetic number, because the mean of its divisors is an integer number (46814981500).

Almost surely, 2^505575603261 is an apocalyptic number.

It is an amenable number.

505575603261 is a deficient number, since it is larger than the sum of its proper divisors (243464100739).

505575603261 is a wasteful number, since it uses less digits than its factorization.

505575603261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970265 (or 970259 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 505575603261 in words is "five hundred five billion, five hundred seventy-five million, six hundred three thousand, two hundred sixty-one".