505137711 has 16 divisors (see below), whose sum is σ = 767993184. Its totient is φ = 292568064.

The previous prime is 505137701. The next prime is 505137713. The reversal of 505137711 is 117731505.

It is not a de Polignac number, because 505137711 - 2⁵ = 505137679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505137713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380286 + ... + 381611.

It is an arithmetic number, because the mean of its divisors is an integer number (47999574).

Almost surely, 2^505137711 is an apocalyptic number.

505137711 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

505137711 is a deficient number, since it is larger than the sum of its proper divisors (262855473).

505137711 is a wasteful number, since it uses less digits than its factorization.

505137711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761930.

The product of its (nonzero) digits is 3675, while the sum is 30.

The square root of 505137711 is about 22475.2688749212. The cubic root of 505137711 is about 796.4098033579.

The spelling of 505137711 in words is "five hundred five million, one hundred thirty-seven thousand, seven hundred eleven".