505640127731 has 16 divisors (see below), whose sum is σ = 508833420480. Its totient is φ = 502458485760.

The previous prime is 505640127709. The next prime is 505640127739. The reversal of 505640127731 is 137721046505.

It is a cyclic number.

It is not a de Polignac number, because 505640127731 - 2²² = 505635933427 is a prime.

It is a super-3 number, since 3×505640127731³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505640127739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298664321 + ... + 298666013.

It is an arithmetic number, because the mean of its divisors is an integer number (31802088780).

Almost surely, 2^505640127731 is an apocalyptic number.

505640127731 is a deficient number, since it is larger than the sum of its proper divisors (3193292749).

505640127731 is a wasteful number, since it uses less digits than its factorization.

505640127731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126.

The product of its (nonzero) digits is 176400, while the sum is 41.

The spelling of 505640127731 in words is "five hundred five billion, six hundred forty million, one hundred twenty-seven thousand, seven hundred thirty-one".