505137505 has 16 divisors (see below), whose sum is σ = 623301840. Its totient is φ = 392712192.

The previous prime is 505137499. The next prime is 505137511. The reversal of 505137505 is 505731505.

It is an interprime number because it is at equal distance from previous prime (505137499) and next prime (505137511).

It can be written as a sum of positive squares in 8 ways, for example, as 244734736 + 260402769 = 15644^2 + 16137^2 .

It is a cyclic number.

It is not a de Polignac number, because 505137505 - 2³ = 505137497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296817 + ... + 298513.

It is an arithmetic number, because the mean of its divisors is an integer number (38956365).

Almost surely, 2^505137505 is an apocalyptic number.

It is an amenable number.

505137505 is a deficient number, since it is larger than the sum of its proper divisors (118164335).

505137505 is a wasteful number, since it uses less digits than its factorization.

505137505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348.

The product of its (nonzero) digits is 13125, while the sum is 31.

The square root of 505137505 is about 22475.2642921057. The cubic root of 505137505 is about 796.4096950967.

The spelling of 505137505 in words is "five hundred five million, one hundred thirty-seven thousand, five hundred five".