505735261 has 6 divisors (see below), whose sum is σ = 537234650. Its totient is φ = 475985856.

The previous prime is 505735213. The next prime is 505735297. The reversal of 505735261 is 162537505.

It can be written as a sum of positive squares in 3 ways, for example, as 289204036 + 216531225 = 17006^2 + 14715^2 .

It is not a de Polignac number, because 505735261 - 2¹³ = 505727069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505735211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 874686 + ... + 875263.

Almost surely, 2^505735261 is an apocalyptic number.

It is an amenable number.

505735261 is a deficient number, since it is larger than the sum of its proper divisors (31499389).

505735261 is a wasteful number, since it uses less digits than its factorization.

505735261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749983 (or 1749966 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 505735261 is about 22488.5584464634. The cubic root of 505735261 is about 796.7237158736.

The spelling of 505735261 in words is "five hundred five million, seven hundred thirty-five thousand, two hundred sixty-one".